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Finding the Fourth Proportional to 8,417.25, 12,625.88 and 2,261.25

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Solution

The fourth proportional to 8,417.25, 12,625.88 and 2,261.25 is: 3,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.25 : 12,625.88 = 2,261.25 : x
  2. Step 2: Convert to fraction form
    8,417.25/12,625.88 = 2,261.25/x
  3. Step 3: Cross multiply
    8,417.25x = 12,625.88 × 2,261.25
  4. Step 4: Simplify right side
    8,417.25x = 28,550,259.84
  5. Step 5: Solve for x
    x = 28,550,259.84/8,417.25
  6. Step 6: Final answer
    x = 3,391.88

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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.