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Finding the Fourth Proportional to 6,878.17, 10,307.53 and 3,417.85

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Solution

The fourth proportional to 6,878.17, 10,307.53 and 3,417.85 is: 5,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.17 : 10,307.53 = 3,417.85 : x
  2. Step 2: Convert to fraction form
    6,878.17/10,307.53 = 3,417.85/x
  3. Step 3: Cross multiply
    6,878.17x = 10,307.53 × 3,417.85
  4. Step 4: Simplify right side
    6,878.17x = 35,229,591.41
  5. Step 5: Solve for x
    x = 35,229,591.41/6,878.17
  6. Step 6: Final answer
    x = 5,121.94

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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.