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Finding the Fourth Proportional to 10,834.53, 14,950.88 and 6,357.68

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Solution

The fourth proportional to 10,834.53, 14,950.88 and 6,357.68 is: 8,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.53 : 14,950.88 = 6,357.68 : x
  2. Step 2: Convert to fraction form
    10,834.53/14,950.88 = 6,357.68/x
  3. Step 3: Cross multiply
    10,834.53x = 14,950.88 × 6,357.68
  4. Step 4: Simplify right side
    10,834.53x = 95,052,863.10
  5. Step 5: Solve for x
    x = 95,052,863.10/10,834.53
  6. Step 6: Final answer
    x = 8,773.14

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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.