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Finding the Fourth Proportional to 11,337.17, 16,972.94 and 7,384.16

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Solution

The fourth proportional to 11,337.17, 16,972.94 and 7,384.16 is: 11,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.17 : 16,972.94 = 7,384.16 : x
  2. Step 2: Convert to fraction form
    11,337.17/16,972.94 = 7,384.16/x
  3. Step 3: Cross multiply
    11,337.17x = 16,972.94 × 7,384.16
  4. Step 4: Simplify right side
    11,337.17x = 125,330,965.52
  5. Step 5: Solve for x
    x = 125,330,965.52/11,337.17
  6. Step 6: Final answer
    x = 11,054.88

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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.