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Finding the Fourth Proportional to 27,280.28, 40,922.80 and 7,559.01

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Solution

The fourth proportional to 27,280.28, 40,922.80 and 7,559.01 is: 11,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,280.28 : 40,922.80 = 7,559.01 : x
  2. Step 2: Convert to fraction form
    27,280.28/40,922.80 = 7,559.01/x
  3. Step 3: Cross multiply
    27,280.28x = 40,922.80 × 7,559.01
  4. Step 4: Simplify right side
    27,280.28x = 309,335,854.43
  5. Step 5: Solve for x
    x = 309,335,854.43/27,280.28
  6. Step 6: Final answer
    x = 11,339.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.