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Finding the Fourth Proportional to 10,235.88, 15,348.35 and 3,214.60

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Solution

The fourth proportional to 10,235.88, 15,348.35 and 3,214.60 is: 4,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.88 : 15,348.35 = 3,214.60 : x
  2. Step 2: Convert to fraction form
    10,235.88/15,348.35 = 3,214.60/x
  3. Step 3: Cross multiply
    10,235.88x = 15,348.35 × 3,214.60
  4. Step 4: Simplify right side
    10,235.88x = 49,338,775.58
  5. Step 5: Solve for x
    x = 49,338,775.58/10,235.88
  6. Step 6: Final answer
    x = 4,820.18

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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.