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Finding the Fourth Proportional to 7,641.15, 10,549.15 and 5,845.32

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Solution

The fourth proportional to 7,641.15, 10,549.15 and 5,845.32 is: 8,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.15 : 10,549.15 = 5,845.32 : x
  2. Step 2: Convert to fraction form
    7,641.15/10,549.15 = 5,845.32/x
  3. Step 3: Cross multiply
    7,641.15x = 10,549.15 × 5,845.32
  4. Step 4: Simplify right side
    7,641.15x = 61,663,104.73
  5. Step 5: Solve for x
    x = 61,663,104.73/7,641.15
  6. Step 6: Final answer
    x = 8,069.87

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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.