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Finding the Fourth Proportional to 7,382.91, 10,188.66 and 4,026

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Solution

The fourth proportional to 7,382.91, 10,188.66 and 4,026 is: 5,556.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.91 : 10,188.66 = 4,026 : x
  2. Step 2: Convert to fraction form
    7,382.91/10,188.66 = 4,026/x
  3. Step 3: Cross multiply
    7,382.91x = 10,188.66 × 4,026
  4. Step 4: Simplify right side
    7,382.91x = 41,019,545.16
  5. Step 5: Solve for x
    x = 41,019,545.16/7,382.91
  6. Step 6: Final answer
    x = 5,556.01

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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.