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Finding the Fourth Proportional to 7,120.40, 9,824.04 and 4,135.52

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Solution

The fourth proportional to 7,120.40, 9,824.04 and 4,135.52 is: 5,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.40 : 9,824.04 = 4,135.52 : x
  2. Step 2: Convert to fraction form
    7,120.40/9,824.04 = 4,135.52/x
  3. Step 3: Cross multiply
    7,120.40x = 9,824.04 × 4,135.52
  4. Step 4: Simplify right side
    7,120.40x = 40,627,513.90
  5. Step 5: Solve for x
    x = 40,627,513.90/7,120.40
  6. Step 6: Final answer
    x = 5,705.79

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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.