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Finding the Fourth Proportional to 10,366.53, 14,306.02 and 5,650.81

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Solution

The fourth proportional to 10,366.53, 14,306.02 and 5,650.81 is: 7,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.53 : 14,306.02 = 5,650.81 : x
  2. Step 2: Convert to fraction form
    10,366.53/14,306.02 = 5,650.81/x
  3. Step 3: Cross multiply
    10,366.53x = 14,306.02 × 5,650.81
  4. Step 4: Simplify right side
    10,366.53x = 80,840,631.46
  5. Step 5: Solve for x
    x = 80,840,631.46/10,366.53
  6. Step 6: Final answer
    x = 7,798.23

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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.