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Finding the Fourth Proportional to 8,686.36, 11,985.33 and 5,150.71

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Solution

The fourth proportional to 8,686.36, 11,985.33 and 5,150.71 is: 7,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.36 : 11,985.33 = 5,150.71 : x
  2. Step 2: Convert to fraction form
    8,686.36/11,985.33 = 5,150.71/x
  3. Step 3: Cross multiply
    8,686.36x = 11,985.33 × 5,150.71
  4. Step 4: Simplify right side
    8,686.36x = 61,732,959.08
  5. Step 5: Solve for x
    x = 61,732,959.08/8,686.36
  6. Step 6: Final answer
    x = 7,106.88

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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.