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Finding the Fourth Proportional to 6,878.40, 10,313.72 and 2,197.32

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Solution

The fourth proportional to 6,878.40, 10,313.72 and 2,197.32 is: 3,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.40 : 10,313.72 = 2,197.32 : x
  2. Step 2: Convert to fraction form
    6,878.40/10,313.72 = 2,197.32/x
  3. Step 3: Cross multiply
    6,878.40x = 10,313.72 × 2,197.32
  4. Step 4: Simplify right side
    6,878.40x = 22,662,543.23
  5. Step 5: Solve for x
    x = 22,662,543.23/6,878.40
  6. Step 6: Final answer
    x = 3,294.74

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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.