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Finding the Fourth Proportional to 10,285.88, 15,393.18 and 6,335.38

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Solution

The fourth proportional to 10,285.88, 15,393.18 and 6,335.38 is: 9,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.88 : 15,393.18 = 6,335.38 : x
  2. Step 2: Convert to fraction form
    10,285.88/15,393.18 = 6,335.38/x
  3. Step 3: Cross multiply
    10,285.88x = 15,393.18 × 6,335.38
  4. Step 4: Simplify right side
    10,285.88x = 97,521,644.71
  5. Step 5: Solve for x
    x = 97,521,644.71/10,285.88
  6. Step 6: Final answer
    x = 9,481.12

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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.