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Finding the Fourth Proportional to 7,151.92, 9,870.24 and 4,007.68

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Solution

The fourth proportional to 7,151.92, 9,870.24 and 4,007.68 is: 5,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.92 : 9,870.24 = 4,007.68 : x
  2. Step 2: Convert to fraction form
    7,151.92/9,870.24 = 4,007.68/x
  3. Step 3: Cross multiply
    7,151.92x = 9,870.24 × 4,007.68
  4. Step 4: Simplify right side
    7,151.92x = 39,556,763.44
  5. Step 5: Solve for x
    x = 39,556,763.44/7,151.92
  6. Step 6: Final answer
    x = 5,530.93

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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.