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Finding the Fourth Proportional to 10,471.86, 14,450.62 and 5,756.30

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Solution

The fourth proportional to 10,471.86, 14,450.62 and 5,756.30 is: 7,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.86 : 14,450.62 = 5,756.30 : x
  2. Step 2: Convert to fraction form
    10,471.86/14,450.62 = 5,756.30/x
  3. Step 3: Cross multiply
    10,471.86x = 14,450.62 × 5,756.30
  4. Step 4: Simplify right side
    10,471.86x = 83,182,103.91
  5. Step 5: Solve for x
    x = 83,182,103.91/10,471.86
  6. Step 6: Final answer
    x = 7,943.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.