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Finding the Fourth Proportional to 10,842.58, 16,264.07 and 3,447.15

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Solution

The fourth proportional to 10,842.58, 16,264.07 and 3,447.15 is: 5,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.58 : 16,264.07 = 3,447.15 : x
  2. Step 2: Convert to fraction form
    10,842.58/16,264.07 = 3,447.15/x
  3. Step 3: Cross multiply
    10,842.58x = 16,264.07 × 3,447.15
  4. Step 4: Simplify right side
    10,842.58x = 56,064,688.90
  5. Step 5: Solve for x
    x = 56,064,688.90/10,842.58
  6. Step 6: Final answer
    x = 5,170.79

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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.