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Finding the Fourth Proportional to 8,319.76, 12,490.53 and 5,564.14

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Solution

The fourth proportional to 8,319.76, 12,490.53 and 5,564.14 is: 8,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.76 : 12,490.53 = 5,564.14 : x
  2. Step 2: Convert to fraction form
    8,319.76/12,490.53 = 5,564.14/x
  3. Step 3: Cross multiply
    8,319.76x = 12,490.53 × 5,564.14
  4. Step 4: Simplify right side
    8,319.76x = 69,498,995.14
  5. Step 5: Solve for x
    x = 69,498,995.14/8,319.76
  6. Step 6: Final answer
    x = 8,353.49

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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.