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Finding the Fourth Proportional to 10,489.30, 15,734.13 and 2,698.18

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Solution

The fourth proportional to 10,489.30, 15,734.13 and 2,698.18 is: 4,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.30 : 15,734.13 = 2,698.18 : x
  2. Step 2: Convert to fraction form
    10,489.30/15,734.13 = 2,698.18/x
  3. Step 3: Cross multiply
    10,489.30x = 15,734.13 × 2,698.18
  4. Step 4: Simplify right side
    10,489.30x = 42,453,514.88
  5. Step 5: Solve for x
    x = 42,453,514.88/10,489.30
  6. Step 6: Final answer
    x = 4,047.32

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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.