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Finding the Fourth Proportional to 10,039.49, 15,047.28 and 7,566.15

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Solution

The fourth proportional to 10,039.49, 15,047.28 and 7,566.15 is: 11,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.49 : 15,047.28 = 7,566.15 : x
  2. Step 2: Convert to fraction form
    10,039.49/15,047.28 = 7,566.15/x
  3. Step 3: Cross multiply
    10,039.49x = 15,047.28 × 7,566.15
  4. Step 4: Simplify right side
    10,039.49x = 113,849,977.57
  5. Step 5: Solve for x
    x = 113,849,977.57/10,039.49
  6. Step 6: Final answer
    x = 11,340.22

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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.