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Finding the Fourth Proportional to 11,417.33, 15,737.09 and 7,639.16

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Solution

The fourth proportional to 11,417.33, 15,737.09 and 7,639.16 is: 10,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.33 : 15,737.09 = 7,639.16 : x
  2. Step 2: Convert to fraction form
    11,417.33/15,737.09 = 7,639.16/x
  3. Step 3: Cross multiply
    11,417.33x = 15,737.09 × 7,639.16
  4. Step 4: Simplify right side
    11,417.33x = 120,218,031.56
  5. Step 5: Solve for x
    x = 120,218,031.56/11,417.33
  6. Step 6: Final answer
    x = 10,529.43

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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.