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Finding the Fourth Proportional to 11,163.52, 15,406.14 and 6,688

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Solution

The fourth proportional to 11,163.52, 15,406.14 and 6,688 is: 9,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.52 : 15,406.14 = 6,688 : x
  2. Step 2: Convert to fraction form
    11,163.52/15,406.14 = 6,688/x
  3. Step 3: Cross multiply
    11,163.52x = 15,406.14 × 6,688
  4. Step 4: Simplify right side
    11,163.52x = 103,036,264.32
  5. Step 5: Solve for x
    x = 103,036,264.32/11,163.52
  6. Step 6: Final answer
    x = 9,229.73

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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.