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Finding the Fourth Proportional to 7,877.25, 10,870.64 and 4,340.39

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Solution

The fourth proportional to 7,877.25, 10,870.64 and 4,340.39 is: 5,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.25 : 10,870.64 = 4,340.39 : x
  2. Step 2: Convert to fraction form
    7,877.25/10,870.64 = 4,340.39/x
  3. Step 3: Cross multiply
    7,877.25x = 10,870.64 × 4,340.39
  4. Step 4: Simplify right side
    7,877.25x = 47,182,757.37
  5. Step 5: Solve for x
    x = 47,182,757.37/7,877.25
  6. Step 6: Final answer
    x = 5,989.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.