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Finding the Fourth Proportional to 8,686.60, 11,985.42 and 5,150.68

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Solution

The fourth proportional to 8,686.60, 11,985.42 and 5,150.68 is: 7,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.60 : 11,985.42 = 5,150.68 : x
  2. Step 2: Convert to fraction form
    8,686.60/11,985.42 = 5,150.68/x
  3. Step 3: Cross multiply
    8,686.60x = 11,985.42 × 5,150.68
  4. Step 4: Simplify right side
    8,686.60x = 61,733,063.09
  5. Step 5: Solve for x
    x = 61,733,063.09/8,686.60
  6. Step 6: Final answer
    x = 7,106.70

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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.