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Finding the Fourth Proportional to 7,671.90, 10,541.35 and 6,097.26

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Solution

The fourth proportional to 7,671.90, 10,541.35 and 6,097.26 is: 8,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.90 : 10,541.35 = 6,097.26 : x
  2. Step 2: Convert to fraction form
    7,671.90/10,541.35 = 6,097.26/x
  3. Step 3: Cross multiply
    7,671.90x = 10,541.35 × 6,097.26
  4. Step 4: Simplify right side
    7,671.90x = 64,273,351.70
  5. Step 5: Solve for x
    x = 64,273,351.70/7,671.90
  6. Step 6: Final answer
    x = 8,377.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.