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Finding the Fourth Proportional to 10,333.96, 15,503.12 and 5,402.28

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Solution

The fourth proportional to 10,333.96, 15,503.12 and 5,402.28 is: 8,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.96 : 15,503.12 = 5,402.28 : x
  2. Step 2: Convert to fraction form
    10,333.96/15,503.12 = 5,402.28/x
  3. Step 3: Cross multiply
    10,333.96x = 15,503.12 × 5,402.28
  4. Step 4: Simplify right side
    10,333.96x = 83,752,195.11
  5. Step 5: Solve for x
    x = 83,752,195.11/10,333.96
  6. Step 6: Final answer
    x = 8,104.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.