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Finding the Fourth Proportional to 10,512.96, 14,500.08 and 7,154.72

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Solution

The fourth proportional to 10,512.96, 14,500.08 and 7,154.72 is: 9,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.96 : 14,500.08 = 7,154.72 : x
  2. Step 2: Convert to fraction form
    10,512.96/14,500.08 = 7,154.72/x
  3. Step 3: Cross multiply
    10,512.96x = 14,500.08 × 7,154.72
  4. Step 4: Simplify right side
    10,512.96x = 103,744,012.38
  5. Step 5: Solve for x
    x = 103,744,012.38/10,512.96
  6. Step 6: Final answer
    x = 9,868.20

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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.