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Finding the Fourth Proportional to 7,034.26, 9,707.28 and 4,240.30

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Solution

The fourth proportional to 7,034.26, 9,707.28 and 4,240.30 is: 5,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.26 : 9,707.28 = 4,240.30 : x
  2. Step 2: Convert to fraction form
    7,034.26/9,707.28 = 4,240.30/x
  3. Step 3: Cross multiply
    7,034.26x = 9,707.28 × 4,240.30
  4. Step 4: Simplify right side
    7,034.26x = 41,161,779.38
  5. Step 5: Solve for x
    x = 41,161,779.38/7,034.26
  6. Step 6: Final answer
    x = 5,851.61

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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.