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Finding the Fourth Proportional to 7,871.40, 11,853.69 and 5,695.32

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Solution

The fourth proportional to 7,871.40, 11,853.69 and 5,695.32 is: 8,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.40 : 11,853.69 = 5,695.32 : x
  2. Step 2: Convert to fraction form
    7,871.40/11,853.69 = 5,695.32/x
  3. Step 3: Cross multiply
    7,871.40x = 11,853.69 × 5,695.32
  4. Step 4: Simplify right side
    7,871.40x = 67,510,557.73
  5. Step 5: Solve for x
    x = 67,510,557.73/7,871.40
  6. Step 6: Final answer
    x = 8,576.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.