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Finding the Fourth Proportional to 10,610.12, 15,903.18 and 5,405

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Solution

The fourth proportional to 10,610.12, 15,903.18 and 5,405 is: 8,101.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.12 : 15,903.18 = 5,405 : x
  2. Step 2: Convert to fraction form
    10,610.12/15,903.18 = 5,405/x
  3. Step 3: Cross multiply
    10,610.12x = 15,903.18 × 5,405
  4. Step 4: Simplify right side
    10,610.12x = 85,956,687.90
  5. Step 5: Solve for x
    x = 85,956,687.90/10,610.12
  6. Step 6: Final answer
    x = 8,101.39

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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.