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Finding the Fourth Proportional to 10,773.39, 14,867.30 and 6,296.31

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Solution

The fourth proportional to 10,773.39, 14,867.30 and 6,296.31 is: 8,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.39 : 14,867.30 = 6,296.31 : x
  2. Step 2: Convert to fraction form
    10,773.39/14,867.30 = 6,296.31/x
  3. Step 3: Cross multiply
    10,773.39x = 14,867.30 × 6,296.31
  4. Step 4: Simplify right side
    10,773.39x = 93,609,098.18
  5. Step 5: Solve for x
    x = 93,609,098.18/10,773.39
  6. Step 6: Final answer
    x = 8,688.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.