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Finding the Fourth Proportional to 11,560.38, 15,950.55 and 7,022.97

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Solution

The fourth proportional to 11,560.38, 15,950.55 and 7,022.97 is: 9,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.38 : 15,950.55 = 7,022.97 : x
  2. Step 2: Convert to fraction form
    11,560.38/15,950.55 = 7,022.97/x
  3. Step 3: Cross multiply
    11,560.38x = 15,950.55 × 7,022.97
  4. Step 4: Simplify right side
    11,560.38x = 112,020,234.13
  5. Step 5: Solve for x
    x = 112,020,234.13/11,560.38
  6. Step 6: Final answer
    x = 9,690.01

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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.