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Finding the Fourth Proportional to 10,710.29, 16,060.17 and 6,326.57

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Solution

The fourth proportional to 10,710.29, 16,060.17 and 6,326.57 is: 9,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.29 : 16,060.17 = 6,326.57 : x
  2. Step 2: Convert to fraction form
    10,710.29/16,060.17 = 6,326.57/x
  3. Step 3: Cross multiply
    10,710.29x = 16,060.17 × 6,326.57
  4. Step 4: Simplify right side
    10,710.29x = 101,605,789.72
  5. Step 5: Solve for x
    x = 101,605,789.72/10,710.29
  6. Step 6: Final answer
    x = 9,486.74

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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.