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Finding the Fourth Proportional to 10,463.57, 14,438.98 and 5,924.95

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Solution

The fourth proportional to 10,463.57, 14,438.98 and 5,924.95 is: 8,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.57 : 14,438.98 = 5,924.95 : x
  2. Step 2: Convert to fraction form
    10,463.57/14,438.98 = 5,924.95/x
  3. Step 3: Cross multiply
    10,463.57x = 14,438.98 × 5,924.95
  4. Step 4: Simplify right side
    10,463.57x = 85,550,183.64
  5. Step 5: Solve for x
    x = 85,550,183.64/10,463.57
  6. Step 6: Final answer
    x = 8,176.01

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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.