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Finding the Fourth Proportional to 7,122.40, 9,827.92 and 4,138.48

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Solution

The fourth proportional to 7,122.40, 9,827.92 and 4,138.48 is: 5,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.40 : 9,827.92 = 4,138.48 : x
  2. Step 2: Convert to fraction form
    7,122.40/9,827.92 = 4,138.48/x
  3. Step 3: Cross multiply
    7,122.40x = 9,827.92 × 4,138.48
  4. Step 4: Simplify right side
    7,122.40x = 40,672,650.36
  5. Step 5: Solve for x
    x = 40,672,650.36/7,122.40
  6. Step 6: Final answer
    x = 5,710.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.