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Finding the Fourth Proportional to 8,270.66, 11,416.19 and 5,294.52

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Solution

The fourth proportional to 8,270.66, 11,416.19 and 5,294.52 is: 7,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.66 : 11,416.19 = 5,294.52 : x
  2. Step 2: Convert to fraction form
    8,270.66/11,416.19 = 5,294.52/x
  3. Step 3: Cross multiply
    8,270.66x = 11,416.19 × 5,294.52
  4. Step 4: Simplify right side
    8,270.66x = 60,443,219.81
  5. Step 5: Solve for x
    x = 60,443,219.81/8,270.66
  6. Step 6: Final answer
    x = 7,308.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.