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Finding the Fourth Proportional to 6,878.46, 10,316.03 and 3,177.13

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Solution

The fourth proportional to 6,878.46, 10,316.03 and 3,177.13 is: 4,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.46 : 10,316.03 = 3,177.13 : x
  2. Step 2: Convert to fraction form
    6,878.46/10,316.03 = 3,177.13/x
  3. Step 3: Cross multiply
    6,878.46x = 10,316.03 × 3,177.13
  4. Step 4: Simplify right side
    6,878.46x = 32,775,368.39
  5. Step 5: Solve for x
    x = 32,775,368.39/6,878.46
  6. Step 6: Final answer
    x = 4,764.93

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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.