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Finding the Fourth Proportional to 10,475.64, 15,713.06 and 3,550.14

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Solution

The fourth proportional to 10,475.64, 15,713.06 and 3,550.14 is: 5,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.64 : 15,713.06 = 3,550.14 : x
  2. Step 2: Convert to fraction form
    10,475.64/15,713.06 = 3,550.14/x
  3. Step 3: Cross multiply
    10,475.64x = 15,713.06 × 3,550.14
  4. Step 4: Simplify right side
    10,475.64x = 55,783,545.08
  5. Step 5: Solve for x
    x = 55,783,545.08/10,475.64
  6. Step 6: Final answer
    x = 5,325.07

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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.