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Finding the Fourth Proportional to 12,503.57, 18,758.39 and 6,261.71

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Solution

The fourth proportional to 12,503.57, 18,758.39 and 6,261.71 is: 9,394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.57 : 18,758.39 = 6,261.71 : x
  2. Step 2: Convert to fraction form
    12,503.57/18,758.39 = 6,261.71/x
  3. Step 3: Cross multiply
    12,503.57x = 18,758.39 × 6,261.71
  4. Step 4: Simplify right side
    12,503.57x = 117,459,473.15
  5. Step 5: Solve for x
    x = 117,459,473.15/12,503.57
  6. Step 6: Final answer
    x = 9,394.08

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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.