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Finding the Fourth Proportional to 8,677.68, 11,973.60 and 5,142

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Solution

The fourth proportional to 8,677.68, 11,973.60 and 5,142 is: 7,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.68 : 11,973.60 = 5,142 : x
  2. Step 2: Convert to fraction form
    8,677.68/11,973.60 = 5,142/x
  3. Step 3: Cross multiply
    8,677.68x = 11,973.60 × 5,142
  4. Step 4: Simplify right side
    8,677.68x = 61,568,251.20
  5. Step 5: Solve for x
    x = 61,568,251.20/8,677.68
  6. Step 6: Final answer
    x = 7,095.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.