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Finding the Fourth Proportional to 8,551.60, 12,829.32 and 3,005.33

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Solution

The fourth proportional to 8,551.60, 12,829.32 and 3,005.33 is: 4,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.60 : 12,829.32 = 3,005.33 : x
  2. Step 2: Convert to fraction form
    8,551.60/12,829.32 = 3,005.33/x
  3. Step 3: Cross multiply
    8,551.60x = 12,829.32 × 3,005.33
  4. Step 4: Simplify right side
    8,551.60x = 38,556,276.13
  5. Step 5: Solve for x
    x = 38,556,276.13/8,551.60
  6. Step 6: Final answer
    x = 4,508.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.