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Finding the Fourth Proportional to 10,534.64, 15,797.36 and 5,267.61

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Solution

The fourth proportional to 10,534.64, 15,797.36 and 5,267.61 is: 7,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.64 : 15,797.36 = 5,267.61 : x
  2. Step 2: Convert to fraction form
    10,534.64/15,797.36 = 5,267.61/x
  3. Step 3: Cross multiply
    10,534.64x = 15,797.36 × 5,267.61
  4. Step 4: Simplify right side
    10,534.64x = 83,214,344.68
  5. Step 5: Solve for x
    x = 83,214,344.68/10,534.64
  6. Step 6: Final answer
    x = 7,899.12

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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.