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Finding the Fourth Proportional to 10,663.06, 15,992.70 and 6,275.38

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Solution

The fourth proportional to 10,663.06, 15,992.70 and 6,275.38 is: 9,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.06 : 15,992.70 = 6,275.38 : x
  2. Step 2: Convert to fraction form
    10,663.06/15,992.70 = 6,275.38/x
  3. Step 3: Cross multiply
    10,663.06x = 15,992.70 × 6,275.38
  4. Step 4: Simplify right side
    10,663.06x = 100,360,269.73
  5. Step 5: Solve for x
    x = 100,360,269.73/10,663.06
  6. Step 6: Final answer
    x = 9,411.96

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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.