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Finding the Fourth Proportional to 10,524.96, 15,780.12 and 5,327.28

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Solution

The fourth proportional to 10,524.96, 15,780.12 and 5,327.28 is: 7,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.96 : 15,780.12 = 5,327.28 : x
  2. Step 2: Convert to fraction form
    10,524.96/15,780.12 = 5,327.28/x
  3. Step 3: Cross multiply
    10,524.96x = 15,780.12 × 5,327.28
  4. Step 4: Simplify right side
    10,524.96x = 84,065,117.67
  5. Step 5: Solve for x
    x = 84,065,117.67/10,524.96
  6. Step 6: Final answer
    x = 7,987.21

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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.