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Finding the Fourth Proportional to 7,432.30, 10,254 and 4,781.26

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Solution

The fourth proportional to 7,432.30, 10,254 and 4,781.26 is: 6,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.30 : 10,254 = 4,781.26 : x
  2. Step 2: Convert to fraction form
    7,432.30/10,254 = 4,781.26/x
  3. Step 3: Cross multiply
    7,432.30x = 10,254 × 4,781.26
  4. Step 4: Simplify right side
    7,432.30x = 49,027,040.04
  5. Step 5: Solve for x
    x = 49,027,040.04/7,432.30
  6. Step 6: Final answer
    x = 6,596.48

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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.