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Finding the Fourth Proportional to 8,282.77, 12,417.13 and 3,599.25

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Solution

The fourth proportional to 8,282.77, 12,417.13 and 3,599.25 is: 5,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.77 : 12,417.13 = 3,599.25 : x
  2. Step 2: Convert to fraction form
    8,282.77/12,417.13 = 3,599.25/x
  3. Step 3: Cross multiply
    8,282.77x = 12,417.13 × 3,599.25
  4. Step 4: Simplify right side
    8,282.77x = 44,692,337.16
  5. Step 5: Solve for x
    x = 44,692,337.16/8,282.77
  6. Step 6: Final answer
    x = 5,395.82

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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.