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Finding the Fourth Proportional to 10,428.78, 15,641.01 and 3,850.47

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Solution

The fourth proportional to 10,428.78, 15,641.01 and 3,850.47 is: 5,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.78 : 15,641.01 = 3,850.47 : x
  2. Step 2: Convert to fraction form
    10,428.78/15,641.01 = 3,850.47/x
  3. Step 3: Cross multiply
    10,428.78x = 15,641.01 × 3,850.47
  4. Step 4: Simplify right side
    10,428.78x = 60,225,239.77
  5. Step 5: Solve for x
    x = 60,225,239.77/10,428.78
  6. Step 6: Final answer
    x = 5,774.91

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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.