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Finding the Fourth Proportional to 8,614.20, 12,852.38 and 7,678.68

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Solution

The fourth proportional to 8,614.20, 12,852.38 and 7,678.68 is: 11,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.20 : 12,852.38 = 7,678.68 : x
  2. Step 2: Convert to fraction form
    8,614.20/12,852.38 = 7,678.68/x
  3. Step 3: Cross multiply
    8,614.20x = 12,852.38 × 7,678.68
  4. Step 4: Simplify right side
    8,614.20x = 98,689,313.26
  5. Step 5: Solve for x
    x = 98,689,313.26/8,614.20
  6. Step 6: Final answer
    x = 11,456.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.