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Finding the Fourth Proportional to 11,314.72, 15,624.82 and 7,288.55

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Solution

The fourth proportional to 11,314.72, 15,624.82 and 7,288.55 is: 10,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.72 : 15,624.82 = 7,288.55 : x
  2. Step 2: Convert to fraction form
    11,314.72/15,624.82 = 7,288.55/x
  3. Step 3: Cross multiply
    11,314.72x = 15,624.82 × 7,288.55
  4. Step 4: Simplify right side
    11,314.72x = 113,882,167.24
  5. Step 5: Solve for x
    x = 113,882,167.24/11,314.72
  6. Step 6: Final answer
    x = 10,064.96

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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.