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Finding the Fourth Proportional to 7,641.05, 10,530.38 and 5,959.80

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Solution

The fourth proportional to 7,641.05, 10,530.38 and 5,959.80 is: 8,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.05 : 10,530.38 = 5,959.80 : x
  2. Step 2: Convert to fraction form
    7,641.05/10,530.38 = 5,959.80/x
  3. Step 3: Cross multiply
    7,641.05x = 10,530.38 × 5,959.80
  4. Step 4: Simplify right side
    7,641.05x = 62,758,928.93
  5. Step 5: Solve for x
    x = 62,758,928.93/7,641.05
  6. Step 6: Final answer
    x = 8,213.40

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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.