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Finding the Fourth Proportional to 8,242.28, 12,370.06 and 4,294.74

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Solution

The fourth proportional to 8,242.28, 12,370.06 and 4,294.74 is: 6,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.28 : 12,370.06 = 4,294.74 : x
  2. Step 2: Convert to fraction form
    8,242.28/12,370.06 = 4,294.74/x
  3. Step 3: Cross multiply
    8,242.28x = 12,370.06 × 4,294.74
  4. Step 4: Simplify right side
    8,242.28x = 53,126,243.24
  5. Step 5: Solve for x
    x = 53,126,243.24/8,242.28
  6. Step 6: Final answer
    x = 6,445.58

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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.