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Finding the Fourth Proportional to 6,877.41, 10,316.13 and 2,494.87

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Solution

The fourth proportional to 6,877.41, 10,316.13 and 2,494.87 is: 3,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.41 : 10,316.13 = 2,494.87 : x
  2. Step 2: Convert to fraction form
    6,877.41/10,316.13 = 2,494.87/x
  3. Step 3: Cross multiply
    6,877.41x = 10,316.13 × 2,494.87
  4. Step 4: Simplify right side
    6,877.41x = 25,737,368.11
  5. Step 5: Solve for x
    x = 25,737,368.11/6,877.41
  6. Step 6: Final answer
    x = 3,742.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.