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Finding the Fourth Proportional to 8,386.56, 11,567.16 and 8,014.32

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Solution

The fourth proportional to 8,386.56, 11,567.16 and 8,014.32 is: 11,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.56 : 11,567.16 = 8,014.32 : x
  2. Step 2: Convert to fraction form
    8,386.56/11,567.16 = 8,014.32/x
  3. Step 3: Cross multiply
    8,386.56x = 11,567.16 × 8,014.32
  4. Step 4: Simplify right side
    8,386.56x = 92,702,921.73
  5. Step 5: Solve for x
    x = 92,702,921.73/8,386.56
  6. Step 6: Final answer
    x = 11,053.75

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.