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Finding the Fourth Proportional to 10,147.16, 15,224.15 and 6,394.58

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Solution

The fourth proportional to 10,147.16, 15,224.15 and 6,394.58 is: 9,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.16 : 15,224.15 = 6,394.58 : x
  2. Step 2: Convert to fraction form
    10,147.16/15,224.15 = 6,394.58/x
  3. Step 3: Cross multiply
    10,147.16x = 15,224.15 × 6,394.58
  4. Step 4: Simplify right side
    10,147.16x = 97,352,045.11
  5. Step 5: Solve for x
    x = 97,352,045.11/10,147.16
  6. Step 6: Final answer
    x = 9,594.02

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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.