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Finding the Fourth Proportional to 8,261.16, 12,392.14 and 2,417.82

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Solution

The fourth proportional to 8,261.16, 12,392.14 and 2,417.82 is: 3,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.16 : 12,392.14 = 2,417.82 : x
  2. Step 2: Convert to fraction form
    8,261.16/12,392.14 = 2,417.82/x
  3. Step 3: Cross multiply
    8,261.16x = 12,392.14 × 2,417.82
  4. Step 4: Simplify right side
    8,261.16x = 29,961,963.93
  5. Step 5: Solve for x
    x = 29,961,963.93/8,261.16
  6. Step 6: Final answer
    x = 3,626.85

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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.