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Finding the Fourth Proportional to 10,998.16, 15,177.54 and 5,962.46

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Solution

The fourth proportional to 10,998.16, 15,177.54 and 5,962.46 is: 8,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.16 : 15,177.54 = 5,962.46 : x
  2. Step 2: Convert to fraction form
    10,998.16/15,177.54 = 5,962.46/x
  3. Step 3: Cross multiply
    10,998.16x = 15,177.54 × 5,962.46
  4. Step 4: Simplify right side
    10,998.16x = 90,495,475.15
  5. Step 5: Solve for x
    x = 90,495,475.15/10,998.16
  6. Step 6: Final answer
    x = 8,228.24

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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.