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Finding the Fourth Proportional to 10,449.18, 15,673.86 and 2,658

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Solution

The fourth proportional to 10,449.18, 15,673.86 and 2,658 is: 3,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.18 : 15,673.86 = 2,658 : x
  2. Step 2: Convert to fraction form
    10,449.18/15,673.86 = 2,658/x
  3. Step 3: Cross multiply
    10,449.18x = 15,673.86 × 2,658
  4. Step 4: Simplify right side
    10,449.18x = 41,661,119.88
  5. Step 5: Solve for x
    x = 41,661,119.88/10,449.18
  6. Step 6: Final answer
    x = 3,987.02

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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.