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Finding the Fourth Proportional to 7,354.87, 11,031.13 and 6,113.43

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Solution

The fourth proportional to 7,354.87, 11,031.13 and 6,113.43 is: 9,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.87 : 11,031.13 = 6,113.43 : x
  2. Step 2: Convert to fraction form
    7,354.87/11,031.13 = 6,113.43/x
  3. Step 3: Cross multiply
    7,354.87x = 11,031.13 × 6,113.43
  4. Step 4: Simplify right side
    7,354.87x = 67,438,041.08
  5. Step 5: Solve for x
    x = 67,438,041.08/7,354.87
  6. Step 6: Final answer
    x = 9,169.17

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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.