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Finding the Fourth Proportional to 10,552.81, 15,826.02 and 3,531.02

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Solution

The fourth proportional to 10,552.81, 15,826.02 and 3,531.02 is: 5,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.81 : 15,826.02 = 3,531.02 : x
  2. Step 2: Convert to fraction form
    10,552.81/15,826.02 = 3,531.02/x
  3. Step 3: Cross multiply
    10,552.81x = 15,826.02 × 3,531.02
  4. Step 4: Simplify right side
    10,552.81x = 55,881,993.14
  5. Step 5: Solve for x
    x = 55,881,993.14/10,552.81
  6. Step 6: Final answer
    x = 5,295.46

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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.