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Finding the Fourth Proportional to 7,496.57, 11,244.75 and 3,109.16

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Solution

The fourth proportional to 7,496.57, 11,244.75 and 3,109.16 is: 4,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.57 : 11,244.75 = 3,109.16 : x
  2. Step 2: Convert to fraction form
    7,496.57/11,244.75 = 3,109.16/x
  3. Step 3: Cross multiply
    7,496.57x = 11,244.75 × 3,109.16
  4. Step 4: Simplify right side
    7,496.57x = 34,961,726.91
  5. Step 5: Solve for x
    x = 34,961,726.91/7,496.57
  6. Step 6: Final answer
    x = 4,663.70

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