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Finding the Fourth Proportional to 7,432.01, 10,256.25 and 4,074.89

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Solution

The fourth proportional to 7,432.01, 10,256.25 and 4,074.89 is: 5,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.01 : 10,256.25 = 4,074.89 : x
  2. Step 2: Convert to fraction form
    7,432.01/10,256.25 = 4,074.89/x
  3. Step 3: Cross multiply
    7,432.01x = 10,256.25 × 4,074.89
  4. Step 4: Simplify right side
    7,432.01x = 41,793,039.28
  5. Step 5: Solve for x
    x = 41,793,039.28/7,432.01
  6. Step 6: Final answer
    x = 5,623.39

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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.