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Finding the Fourth Proportional to 7,395.26, 10,205.69 and 4,038.24

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Solution

The fourth proportional to 7,395.26, 10,205.69 and 4,038.24 is: 5,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,395.26 : 10,205.69 = 4,038.24 : x
  2. Step 2: Convert to fraction form
    7,395.26/10,205.69 = 4,038.24/x
  3. Step 3: Cross multiply
    7,395.26x = 10,205.69 × 4,038.24
  4. Step 4: Simplify right side
    7,395.26x = 41,213,066.38
  5. Step 5: Solve for x
    x = 41,213,066.38/7,395.26
  6. Step 6: Final answer
    x = 5,572.91

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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.