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Finding the Fourth Proportional to 10,335.78, 15,505.12 and 3,314.15

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Solution

The fourth proportional to 10,335.78, 15,505.12 and 3,314.15 is: 4,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.78 : 15,505.12 = 3,314.15 : x
  2. Step 2: Convert to fraction form
    10,335.78/15,505.12 = 3,314.15/x
  3. Step 3: Cross multiply
    10,335.78x = 15,505.12 × 3,314.15
  4. Step 4: Simplify right side
    10,335.78x = 51,386,293.45
  5. Step 5: Solve for x
    x = 51,386,293.45/10,335.78
  6. Step 6: Final answer
    x = 4,971.69

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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.