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Finding the Fourth Proportional to 7,564.75, 11,347.13 and 2,092.75

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Solution

The fourth proportional to 7,564.75, 11,347.13 and 2,092.75 is: 3,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.75 : 11,347.13 = 2,092.75 : x
  2. Step 2: Convert to fraction form
    7,564.75/11,347.13 = 2,092.75/x
  3. Step 3: Cross multiply
    7,564.75x = 11,347.13 × 2,092.75
  4. Step 4: Simplify right side
    7,564.75x = 23,746,706.31
  5. Step 5: Solve for x
    x = 23,746,706.31/7,564.75
  6. Step 6: Final answer
    x = 3,139.13

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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.