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Finding the Fourth Proportional to 11,526.14, 15,899.67 and 7,553.66

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Solution

The fourth proportional to 11,526.14, 15,899.67 and 7,553.66 is: 10,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.14 : 15,899.67 = 7,553.66 : x
  2. Step 2: Convert to fraction form
    11,526.14/15,899.67 = 7,553.66/x
  3. Step 3: Cross multiply
    11,526.14x = 15,899.67 × 7,553.66
  4. Step 4: Simplify right side
    11,526.14x = 120,100,701.29
  5. Step 5: Solve for x
    x = 120,100,701.29/11,526.14
  6. Step 6: Final answer
    x = 10,419.85

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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.