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Finding the Fourth Proportional to 7,871.10, 10,856.40 and 5,348.80

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Solution

The fourth proportional to 7,871.10, 10,856.40 and 5,348.80 is: 7,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.10 : 10,856.40 = 5,348.80 : x
  2. Step 2: Convert to fraction form
    7,871.10/10,856.40 = 5,348.80/x
  3. Step 3: Cross multiply
    7,871.10x = 10,856.40 × 5,348.80
  4. Step 4: Simplify right side
    7,871.10x = 58,068,712.32
  5. Step 5: Solve for x
    x = 58,068,712.32/7,871.10
  6. Step 6: Final answer
    x = 7,377.46

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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.