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Finding the Fourth Proportional to 10,287.85, 15,437.39 and 4,363.82

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Solution

The fourth proportional to 10,287.85, 15,437.39 and 4,363.82 is: 6,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.85 : 15,437.39 = 4,363.82 : x
  2. Step 2: Convert to fraction form
    10,287.85/15,437.39 = 4,363.82/x
  3. Step 3: Cross multiply
    10,287.85x = 15,437.39 × 4,363.82
  4. Step 4: Simplify right side
    10,287.85x = 67,365,892.22
  5. Step 5: Solve for x
    x = 67,365,892.22/10,287.85
  6. Step 6: Final answer
    x = 6,548.11

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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.