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Finding the Fourth Proportional to 27,007.50, 40,508.31 and 7,288.05

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Solution

The fourth proportional to 27,007.50, 40,508.31 and 7,288.05 is: 10,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.50 : 40,508.31 = 7,288.05 : x
  2. Step 2: Convert to fraction form
    27,007.50/40,508.31 = 7,288.05/x
  3. Step 3: Cross multiply
    27,007.50x = 40,508.31 × 7,288.05
  4. Step 4: Simplify right side
    27,007.50x = 295,226,588.70
  5. Step 5: Solve for x
    x = 295,226,588.70/27,007.50
  6. Step 6: Final answer
    x = 10,931.28

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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.