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Finding the Fourth Proportional to 11,706.32, 16,165.56 and 7,521.92

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Solution

The fourth proportional to 11,706.32, 16,165.56 and 7,521.92 is: 10,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.32 : 16,165.56 = 7,521.92 : x
  2. Step 2: Convert to fraction form
    11,706.32/16,165.56 = 7,521.92/x
  3. Step 3: Cross multiply
    11,706.32x = 16,165.56 × 7,521.92
  4. Step 4: Simplify right side
    11,706.32x = 121,596,049.08
  5. Step 5: Solve for x
    x = 121,596,049.08/11,706.32
  6. Step 6: Final answer
    x = 10,387.21

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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.