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Finding the Fourth Proportional to 7,878.16, 10,871.44 and 4,340.72

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Solution

The fourth proportional to 7,878.16, 10,871.44 and 4,340.72 is: 5,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.16 : 10,871.44 = 4,340.72 : x
  2. Step 2: Convert to fraction form
    7,878.16/10,871.44 = 4,340.72/x
  3. Step 3: Cross multiply
    7,878.16x = 10,871.44 × 4,340.72
  4. Step 4: Simplify right side
    7,878.16x = 47,189,877.04
  5. Step 5: Solve for x
    x = 47,189,877.04/7,878.16
  6. Step 6: Final answer
    x = 5,989.96

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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.