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Finding the Fourth Proportional to 8,806.38, 13,141.26 and 7,871.64

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Solution

The fourth proportional to 8,806.38, 13,141.26 and 7,871.64 is: 11,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,806.38 : 13,141.26 = 7,871.64 : x
  2. Step 2: Convert to fraction form
    8,806.38/13,141.26 = 7,871.64/x
  3. Step 3: Cross multiply
    8,806.38x = 13,141.26 × 7,871.64
  4. Step 4: Simplify right side
    8,806.38x = 103,443,267.87
  5. Step 5: Solve for x
    x = 103,443,267.87/8,806.38
  6. Step 6: Final answer
    x = 11,746.40

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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.