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Finding the Fourth Proportional to 10,100.78, 15,153.24 and 4,257.40

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Solution

The fourth proportional to 10,100.78, 15,153.24 and 4,257.40 is: 6,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.78 : 15,153.24 = 4,257.40 : x
  2. Step 2: Convert to fraction form
    10,100.78/15,153.24 = 4,257.40/x
  3. Step 3: Cross multiply
    10,100.78x = 15,153.24 × 4,257.40
  4. Step 4: Simplify right side
    10,100.78x = 64,513,403.98
  5. Step 5: Solve for x
    x = 64,513,403.98/10,100.78
  6. Step 6: Final answer
    x = 6,386.97

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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.