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Finding the Fourth Proportional to 8,111.77, 12,167.35 and 2,565.70

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Solution

The fourth proportional to 8,111.77, 12,167.35 and 2,565.70 is: 3,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.77 : 12,167.35 = 2,565.70 : x
  2. Step 2: Convert to fraction form
    8,111.77/12,167.35 = 2,565.70/x
  3. Step 3: Cross multiply
    8,111.77x = 12,167.35 × 2,565.70
  4. Step 4: Simplify right side
    8,111.77x = 31,217,733.06
  5. Step 5: Solve for x
    x = 31,217,733.06/8,111.77
  6. Step 6: Final answer
    x = 3,848.45

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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.