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Finding the Fourth Proportional to 7,122.48, 9,829.52 and 4,139.20

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Solution

The fourth proportional to 7,122.48, 9,829.52 and 4,139.20 is: 5,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.48 : 9,829.52 = 4,139.20 : x
  2. Step 2: Convert to fraction form
    7,122.48/9,829.52 = 4,139.20/x
  3. Step 3: Cross multiply
    7,122.48x = 9,829.52 × 4,139.20
  4. Step 4: Simplify right side
    7,122.48x = 40,686,349.18
  5. Step 5: Solve for x
    x = 40,686,349.18/7,122.48
  6. Step 6: Final answer
    x = 5,712.39

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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.