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Finding the Fourth Proportional to 10,615.12, 15,922.80 and 3,219.52

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Solution

The fourth proportional to 10,615.12, 15,922.80 and 3,219.52 is: 4,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.12 : 15,922.80 = 3,219.52 : x
  2. Step 2: Convert to fraction form
    10,615.12/15,922.80 = 3,219.52/x
  3. Step 3: Cross multiply
    10,615.12x = 15,922.80 × 3,219.52
  4. Step 4: Simplify right side
    10,615.12x = 51,263,773.06
  5. Step 5: Solve for x
    x = 51,263,773.06/10,615.12
  6. Step 6: Final answer
    x = 4,829.32

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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.