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Finding the Fourth Proportional to 10,242.39, 15,363.89 and 4,002.15

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Solution

The fourth proportional to 10,242.39, 15,363.89 and 4,002.15 is: 6,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.39 : 15,363.89 = 4,002.15 : x
  2. Step 2: Convert to fraction form
    10,242.39/15,363.89 = 4,002.15/x
  3. Step 3: Cross multiply
    10,242.39x = 15,363.89 × 4,002.15
  4. Step 4: Simplify right side
    10,242.39x = 61,488,602.37
  5. Step 5: Solve for x
    x = 61,488,602.37/10,242.39
  6. Step 6: Final answer
    x = 6,003.35

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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.