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Finding the Fourth Proportional to 11,560.98, 15,954.48 and 7,022.13

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Solution

The fourth proportional to 11,560.98, 15,954.48 and 7,022.13 is: 9,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.98 : 15,954.48 = 7,022.13 : x
  2. Step 2: Convert to fraction form
    11,560.98/15,954.48 = 7,022.13/x
  3. Step 3: Cross multiply
    11,560.98x = 15,954.48 × 7,022.13
  4. Step 4: Simplify right side
    11,560.98x = 112,034,406.31
  5. Step 5: Solve for x
    x = 112,034,406.31/11,560.98
  6. Step 6: Final answer
    x = 9,690.73

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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.