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Finding the Fourth Proportional to 8,257.77, 12,386.63 and 2,017.71

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Solution

The fourth proportional to 8,257.77, 12,386.63 and 2,017.71 is: 3,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.77 : 12,386.63 = 2,017.71 : x
  2. Step 2: Convert to fraction form
    8,257.77/12,386.63 = 2,017.71/x
  3. Step 3: Cross multiply
    8,257.77x = 12,386.63 × 2,017.71
  4. Step 4: Simplify right side
    8,257.77x = 24,992,632.26
  5. Step 5: Solve for x
    x = 24,992,632.26/8,257.77
  6. Step 6: Final answer
    x = 3,026.56

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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.