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Finding the Fourth Proportional to 10,397.09, 15,598.09 and 3,377.09

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Solution

The fourth proportional to 10,397.09, 15,598.09 and 3,377.09 is: 5,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.09 : 15,598.09 = 3,377.09 : x
  2. Step 2: Convert to fraction form
    10,397.09/15,598.09 = 3,377.09/x
  3. Step 3: Cross multiply
    10,397.09x = 15,598.09 × 3,377.09
  4. Step 4: Simplify right side
    10,397.09x = 52,676,067.32
  5. Step 5: Solve for x
    x = 52,676,067.32/10,397.09
  6. Step 6: Final answer
    x = 5,066.42

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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.