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Finding the Fourth Proportional to 11,549.68, 15,926.02 and 7,352.56

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Solution

The fourth proportional to 11,549.68, 15,926.02 and 7,352.56 is: 10,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.68 : 15,926.02 = 7,352.56 : x
  2. Step 2: Convert to fraction form
    11,549.68/15,926.02 = 7,352.56/x
  3. Step 3: Cross multiply
    11,549.68x = 15,926.02 × 7,352.56
  4. Step 4: Simplify right side
    11,549.68x = 117,097,017.61
  5. Step 5: Solve for x
    x = 117,097,017.61/11,549.68
  6. Step 6: Final answer
    x = 10,138.55

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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.