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Finding the Fourth Proportional to 10,524.80, 15,776.56 and 6,829.40

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Solution

The fourth proportional to 10,524.80, 15,776.56 and 6,829.40 is: 10,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.80 : 15,776.56 = 6,829.40 : x
  2. Step 2: Convert to fraction form
    10,524.80/15,776.56 = 6,829.40/x
  3. Step 3: Cross multiply
    10,524.80x = 15,776.56 × 6,829.40
  4. Step 4: Simplify right side
    10,524.80x = 107,744,438.86
  5. Step 5: Solve for x
    x = 107,744,438.86/10,524.80
  6. Step 6: Final answer
    x = 10,237.20

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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.