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Finding the Fourth Proportional to 10,287.18, 15,419.16 and 6,394.32

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Solution

The fourth proportional to 10,287.18, 15,419.16 and 6,394.32 is: 9,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.18 : 15,419.16 = 6,394.32 : x
  2. Step 2: Convert to fraction form
    10,287.18/15,419.16 = 6,394.32/x
  3. Step 3: Cross multiply
    10,287.18x = 15,419.16 × 6,394.32
  4. Step 4: Simplify right side
    10,287.18x = 98,595,043.17
  5. Step 5: Solve for x
    x = 98,595,043.17/10,287.18
  6. Step 6: Final answer
    x = 9,584.26

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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.