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Finding the Fourth Proportional to 26,473.28, 39,716 and 7,752.88

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Solution

The fourth proportional to 26,473.28, 39,716 and 7,752.88 is: 11,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,473.28 : 39,716 = 7,752.88 : x
  2. Step 2: Convert to fraction form
    26,473.28/39,716 = 7,752.88/x
  3. Step 3: Cross multiply
    26,473.28x = 39,716 × 7,752.88
  4. Step 4: Simplify right side
    26,473.28x = 307,913,382.08
  5. Step 5: Solve for x
    x = 307,913,382.08/26,473.28
  6. Step 6: Final answer
    x = 11,631.10

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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.