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Finding the Fourth Proportional to 10,267.28, 15,398.06 and 4,342.12

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Solution

The fourth proportional to 10,267.28, 15,398.06 and 4,342.12 is: 6,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.28 : 15,398.06 = 4,342.12 : x
  2. Step 2: Convert to fraction form
    10,267.28/15,398.06 = 4,342.12/x
  3. Step 3: Cross multiply
    10,267.28x = 15,398.06 × 4,342.12
  4. Step 4: Simplify right side
    10,267.28x = 66,860,224.29
  5. Step 5: Solve for x
    x = 66,860,224.29/10,267.28
  6. Step 6: Final answer
    x = 6,511.97

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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.