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Finding the Fourth Proportional to 7,535.42, 10,397.91 and 4,178.20

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Solution

The fourth proportional to 7,535.42, 10,397.91 and 4,178.20 is: 5,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.42 : 10,397.91 = 4,178.20 : x
  2. Step 2: Convert to fraction form
    7,535.42/10,397.91 = 4,178.20/x
  3. Step 3: Cross multiply
    7,535.42x = 10,397.91 × 4,178.20
  4. Step 4: Simplify right side
    7,535.42x = 43,444,547.56
  5. Step 5: Solve for x
    x = 43,444,547.56/7,535.42
  6. Step 6: Final answer
    x = 5,765.38

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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.