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Finding the Fourth Proportional to 10,475.50, 15,713.20 and 4,235.43

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Solution

The fourth proportional to 10,475.50, 15,713.20 and 4,235.43 is: 6,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.50 : 15,713.20 = 4,235.43 : x
  2. Step 2: Convert to fraction form
    10,475.50/15,713.20 = 4,235.43/x
  3. Step 3: Cross multiply
    10,475.50x = 15,713.20 × 4,235.43
  4. Step 4: Simplify right side
    10,475.50x = 66,552,234.81
  5. Step 5: Solve for x
    x = 66,552,234.81/10,475.50
  6. Step 6: Final answer
    x = 6,353.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.