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Finding the Fourth Proportional to 11,537.46, 15,922.01 and 7,061.13

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Solution

The fourth proportional to 11,537.46, 15,922.01 and 7,061.13 is: 9,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.46 : 15,922.01 = 7,061.13 : x
  2. Step 2: Convert to fraction form
    11,537.46/15,922.01 = 7,061.13/x
  3. Step 3: Cross multiply
    11,537.46x = 15,922.01 × 7,061.13
  4. Step 4: Simplify right side
    11,537.46x = 112,427,382.47
  5. Step 5: Solve for x
    x = 112,427,382.47/11,537.46
  6. Step 6: Final answer
    x = 9,744.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.