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Finding the Fourth Proportional to 7,884.30, 10,886.68 and 5,371.68

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Solution

The fourth proportional to 7,884.30, 10,886.68 and 5,371.68 is: 7,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.30 : 10,886.68 = 5,371.68 : x
  2. Step 2: Convert to fraction form
    7,884.30/10,886.68 = 5,371.68/x
  3. Step 3: Cross multiply
    7,884.30x = 10,886.68 × 5,371.68
  4. Step 4: Simplify right side
    7,884.30x = 58,479,761.22
  5. Step 5: Solve for x
    x = 58,479,761.22/7,884.30
  6. Step 6: Final answer
    x = 7,417.24

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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.