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Finding the Fourth Proportional to 11,931.73, 16,476.23 and 7,463.10

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Solution

The fourth proportional to 11,931.73, 16,476.23 and 7,463.10 is: 10,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.73 : 16,476.23 = 7,463.10 : x
  2. Step 2: Convert to fraction form
    11,931.73/16,476.23 = 7,463.10/x
  3. Step 3: Cross multiply
    11,931.73x = 16,476.23 × 7,463.10
  4. Step 4: Simplify right side
    11,931.73x = 122,963,752.11
  5. Step 5: Solve for x
    x = 122,963,752.11/11,931.73
  6. Step 6: Final answer
    x = 10,305.61

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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.