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Finding the Fourth Proportional to 7,512.30, 10,363.01 and 6,097.55

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Solution

The fourth proportional to 7,512.30, 10,363.01 and 6,097.55 is: 8,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.30 : 10,363.01 = 6,097.55 : x
  2. Step 2: Convert to fraction form
    7,512.30/10,363.01 = 6,097.55/x
  3. Step 3: Cross multiply
    7,512.30x = 10,363.01 × 6,097.55
  4. Step 4: Simplify right side
    7,512.30x = 63,188,889.32
  5. Step 5: Solve for x
    x = 63,188,889.32/7,512.30
  6. Step 6: Final answer
    x = 8,411.39

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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.