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Finding the Fourth Proportional to 10,834.65, 14,952.51 and 6,356.76

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Solution

The fourth proportional to 10,834.65, 14,952.51 and 6,356.76 is: 8,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.65 : 14,952.51 = 6,356.76 : x
  2. Step 2: Convert to fraction form
    10,834.65/14,952.51 = 6,356.76/x
  3. Step 3: Cross multiply
    10,834.65x = 14,952.51 × 6,356.76
  4. Step 4: Simplify right side
    10,834.65x = 95,049,517.47
  5. Step 5: Solve for x
    x = 95,049,517.47/10,834.65
  6. Step 6: Final answer
    x = 8,772.74

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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.