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Finding the Fourth Proportional to 10,842.66, 16,248.38 and 6,389.82

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Solution

The fourth proportional to 10,842.66, 16,248.38 and 6,389.82 is: 9,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.66 : 16,248.38 = 6,389.82 : x
  2. Step 2: Convert to fraction form
    10,842.66/16,248.38 = 6,389.82/x
  3. Step 3: Cross multiply
    10,842.66x = 16,248.38 × 6,389.82
  4. Step 4: Simplify right side
    10,842.66x = 103,824,191.54
  5. Step 5: Solve for x
    x = 103,824,191.54/10,842.66
  6. Step 6: Final answer
    x = 9,575.53

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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.