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Finding the Fourth Proportional to 11,501.28, 15,872.96 and 7,027.65

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Solution

The fourth proportional to 11,501.28, 15,872.96 and 7,027.65 is: 9,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.28 : 15,872.96 = 7,027.65 : x
  2. Step 2: Convert to fraction form
    11,501.28/15,872.96 = 7,027.65/x
  3. Step 3: Cross multiply
    11,501.28x = 15,872.96 × 7,027.65
  4. Step 4: Simplify right side
    11,501.28x = 111,549,624.91
  5. Step 5: Solve for x
    x = 111,549,624.91/11,501.28
  6. Step 6: Final answer
    x = 9,698.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.