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Finding the Fourth Proportional to 10,449.68, 14,417.88 and 6,254.96

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Solution

The fourth proportional to 10,449.68, 14,417.88 and 6,254.96 is: 8,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.68 : 14,417.88 = 6,254.96 : x
  2. Step 2: Convert to fraction form
    10,449.68/14,417.88 = 6,254.96/x
  3. Step 3: Cross multiply
    10,449.68x = 14,417.88 × 6,254.96
  4. Step 4: Simplify right side
    10,449.68x = 90,183,262.68
  5. Step 5: Solve for x
    x = 90,183,262.68/10,449.68
  6. Step 6: Final answer
    x = 8,630.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.