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Finding the Fourth Proportional to 10,083.78, 15,125.70 and 3,508.40

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Solution

The fourth proportional to 10,083.78, 15,125.70 and 3,508.40 is: 5,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.78 : 15,125.70 = 3,508.40 : x
  2. Step 2: Convert to fraction form
    10,083.78/15,125.70 = 3,508.40/x
  3. Step 3: Cross multiply
    10,083.78x = 15,125.70 × 3,508.40
  4. Step 4: Simplify right side
    10,083.78x = 53,066,930.25
  5. Step 5: Solve for x
    x = 53,066,930.25/10,083.78
  6. Step 6: Final answer
    x = 5,262.60

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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.