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Finding the Fourth Proportional to 6,436.55, 8,877.86 and 5,907.14

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Solution

The fourth proportional to 6,436.55, 8,877.86 and 5,907.14 is: 8,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.55 : 8,877.86 = 5,907.14 : x
  2. Step 2: Convert to fraction form
    6,436.55/8,877.86 = 5,907.14/x
  3. Step 3: Cross multiply
    6,436.55x = 8,877.86 × 5,907.14
  4. Step 4: Simplify right side
    6,436.55x = 52,442,732.38
  5. Step 5: Solve for x
    x = 52,442,732.38/6,436.55
  6. Step 6: Final answer
    x = 8,147.65

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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.