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Finding the Fourth Proportional to 10,155.08, 14,012.78 and 5,617.14

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Solution

The fourth proportional to 10,155.08, 14,012.78 and 5,617.14 is: 7,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.08 : 14,012.78 = 5,617.14 : x
  2. Step 2: Convert to fraction form
    10,155.08/14,012.78 = 5,617.14/x
  3. Step 3: Cross multiply
    10,155.08x = 14,012.78 × 5,617.14
  4. Step 4: Simplify right side
    10,155.08x = 78,711,718.96
  5. Step 5: Solve for x
    x = 78,711,718.96/10,155.08
  6. Step 6: Final answer
    x = 7,750.97

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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.