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Finding the Fourth Proportional to 11,376.32, 15,711.68 and 7,187.04

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Solution

The fourth proportional to 11,376.32, 15,711.68 and 7,187.04 is: 9,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.32 : 15,711.68 = 7,187.04 : x
  2. Step 2: Convert to fraction form
    11,376.32/15,711.68 = 7,187.04/x
  3. Step 3: Cross multiply
    11,376.32x = 15,711.68 × 7,187.04
  4. Step 4: Simplify right side
    11,376.32x = 112,920,472.63
  5. Step 5: Solve for x
    x = 112,920,472.63/11,376.32
  6. Step 6: Final answer
    x = 9,925.92

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Why These Related Problems?

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