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Finding the Fourth Proportional to 10,468.57, 14,446.76 and 5,752.75

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Solution

The fourth proportional to 10,468.57, 14,446.76 and 5,752.75 is: 7,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.57 : 14,446.76 = 5,752.75 : x
  2. Step 2: Convert to fraction form
    10,468.57/14,446.76 = 5,752.75/x
  3. Step 3: Cross multiply
    10,468.57x = 14,446.76 × 5,752.75
  4. Step 4: Simplify right side
    10,468.57x = 83,108,598.59
  5. Step 5: Solve for x
    x = 83,108,598.59/10,468.57
  6. Step 6: Final answer
    x = 7,938.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.