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Finding the Fourth Proportional to 10,953.92, 16,436.40 and 4,382

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Solution

The fourth proportional to 10,953.92, 16,436.40 and 4,382 is: 6,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.92 : 16,436.40 = 4,382 : x
  2. Step 2: Convert to fraction form
    10,953.92/16,436.40 = 4,382/x
  3. Step 3: Cross multiply
    10,953.92x = 16,436.40 × 4,382
  4. Step 4: Simplify right side
    10,953.92x = 72,024,304.80
  5. Step 5: Solve for x
    x = 72,024,304.80/10,953.92
  6. Step 6: Final answer
    x = 6,575.21

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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.