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Finding the Fourth Proportional to 10,475.43, 15,707.07 and 4,230.33

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Solution

The fourth proportional to 10,475.43, 15,707.07 and 4,230.33 is: 6,343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.43 : 15,707.07 = 4,230.33 : x
  2. Step 2: Convert to fraction form
    10,475.43/15,707.07 = 4,230.33/x
  3. Step 3: Cross multiply
    10,475.43x = 15,707.07 × 4,230.33
  4. Step 4: Simplify right side
    10,475.43x = 66,446,089.43
  5. Step 5: Solve for x
    x = 66,446,089.43/10,475.43
  6. Step 6: Final answer
    x = 6,343.04

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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.