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Finding the Fourth Proportional to 8,534.77, 12,802.16 and 2,691.84

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Solution

The fourth proportional to 8,534.77, 12,802.16 and 2,691.84 is: 4,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.77 : 12,802.16 = 2,691.84 : x
  2. Step 2: Convert to fraction form
    8,534.77/12,802.16 = 2,691.84/x
  3. Step 3: Cross multiply
    8,534.77x = 12,802.16 × 2,691.84
  4. Step 4: Simplify right side
    8,534.77x = 34,461,288.90
  5. Step 5: Solve for x
    x = 34,461,288.90/8,534.77
  6. Step 6: Final answer
    x = 4,037.75

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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.