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Finding the Fourth Proportional to 10,772.99, 14,864.54 and 6,295.88

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Solution

The fourth proportional to 10,772.99, 14,864.54 and 6,295.88 is: 8,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.99 : 14,864.54 = 6,295.88 : x
  2. Step 2: Convert to fraction form
    10,772.99/14,864.54 = 6,295.88/x
  3. Step 3: Cross multiply
    10,772.99x = 14,864.54 × 6,295.88
  4. Step 4: Simplify right side
    10,772.99x = 93,585,365.78
  5. Step 5: Solve for x
    x = 93,585,365.78/10,772.99
  6. Step 6: Final answer
    x = 8,687.04

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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.