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Finding the Fourth Proportional to 8,657, 12,986.63 and 3,110.96

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Solution

The fourth proportional to 8,657, 12,986.63 and 3,110.96 is: 4,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657 : 12,986.63 = 3,110.96 : x
  2. Step 2: Convert to fraction form
    8,657/12,986.63 = 3,110.96/x
  3. Step 3: Cross multiply
    8,657x = 12,986.63 × 3,110.96
  4. Step 4: Simplify right side
    8,657x = 40,400,886.46
  5. Step 5: Solve for x
    x = 40,400,886.46/8,657
  6. Step 6: Final answer
    x = 4,666.85

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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.