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Finding the Fourth Proportional to 7,422.35, 10,242.38 and 4,065.20

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Solution

The fourth proportional to 7,422.35, 10,242.38 and 4,065.20 is: 5,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.35 : 10,242.38 = 4,065.20 : x
  2. Step 2: Convert to fraction form
    7,422.35/10,242.38 = 4,065.20/x
  3. Step 3: Cross multiply
    7,422.35x = 10,242.38 × 4,065.20
  4. Step 4: Simplify right side
    7,422.35x = 41,637,323.18
  5. Step 5: Solve for x
    x = 41,637,323.18/7,422.35
  6. Step 6: Final answer
    x = 5,609.72

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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.