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Finding the Fourth Proportional to 10,770.66, 14,864.68 and 6,295.92

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Solution

The fourth proportional to 10,770.66, 14,864.68 and 6,295.92 is: 8,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.66 : 14,864.68 = 6,295.92 : x
  2. Step 2: Convert to fraction form
    10,770.66/14,864.68 = 6,295.92/x
  3. Step 3: Cross multiply
    10,770.66x = 14,864.68 × 6,295.92
  4. Step 4: Simplify right side
    10,770.66x = 93,586,836.11
  5. Step 5: Solve for x
    x = 93,586,836.11/10,770.66
  6. Step 6: Final answer
    x = 8,689.05

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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.