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Finding the Fourth Proportional to 8,488.36, 11,713.86 and 4,762.60

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Solution

The fourth proportional to 8,488.36, 11,713.86 and 4,762.60 is: 6,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.36 : 11,713.86 = 4,762.60 : x
  2. Step 2: Convert to fraction form
    8,488.36/11,713.86 = 4,762.60/x
  3. Step 3: Cross multiply
    8,488.36x = 11,713.86 × 4,762.60
  4. Step 4: Simplify right side
    8,488.36x = 55,788,429.64
  5. Step 5: Solve for x
    x = 55,788,429.64/8,488.36
  6. Step 6: Final answer
    x = 6,572.34

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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.