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Finding the Fourth Proportional to 10,073.20, 13,902.48 and 8,392.24

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Solution

The fourth proportional to 10,073.20, 13,902.48 and 8,392.24 is: 11,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.20 : 13,902.48 = 8,392.24 : x
  2. Step 2: Convert to fraction form
    10,073.20/13,902.48 = 8,392.24/x
  3. Step 3: Cross multiply
    10,073.20x = 13,902.48 × 8,392.24
  4. Step 4: Simplify right side
    10,073.20x = 116,672,948.76
  5. Step 5: Solve for x
    x = 116,672,948.76/10,073.20
  6. Step 6: Final answer
    x = 11,582.51

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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.