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Finding the Fourth Proportional to 10,164.13, 15,246.19 and 6,700.57

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Solution

The fourth proportional to 10,164.13, 15,246.19 and 6,700.57 is: 10,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.13 : 15,246.19 = 6,700.57 : x
  2. Step 2: Convert to fraction form
    10,164.13/15,246.19 = 6,700.57/x
  3. Step 3: Cross multiply
    10,164.13x = 15,246.19 × 6,700.57
  4. Step 4: Simplify right side
    10,164.13x = 102,158,163.33
  5. Step 5: Solve for x
    x = 102,158,163.33/10,164.13
  6. Step 6: Final answer
    x = 10,050.85

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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.