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Finding the Fourth Proportional to 8,437.59, 11,639.26 and 5,078.38

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Solution

The fourth proportional to 8,437.59, 11,639.26 and 5,078.38 is: 7,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.59 : 11,639.26 = 5,078.38 : x
  2. Step 2: Convert to fraction form
    8,437.59/11,639.26 = 5,078.38/x
  3. Step 3: Cross multiply
    8,437.59x = 11,639.26 × 5,078.38
  4. Step 4: Simplify right side
    8,437.59x = 59,108,585.20
  5. Step 5: Solve for x
    x = 59,108,585.20/8,437.59
  6. Step 6: Final answer
    x = 7,005.39

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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.