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Finding the Fourth Proportional to 8,709.90, 13,081.65 and 7,463.31

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Solution

The fourth proportional to 8,709.90, 13,081.65 and 7,463.31 is: 11,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.90 : 13,081.65 = 7,463.31 : x
  2. Step 2: Convert to fraction form
    8,709.90/13,081.65 = 7,463.31/x
  3. Step 3: Cross multiply
    8,709.90x = 13,081.65 × 7,463.31
  4. Step 4: Simplify right side
    8,709.90x = 97,632,409.26
  5. Step 5: Solve for x
    x = 97,632,409.26/8,709.90
  6. Step 6: Final answer
    x = 11,209.36

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