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Finding the Fourth Proportional to 10,280.69, 15,411.78 and 3,702.25

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Solution

The fourth proportional to 10,280.69, 15,411.78 and 3,702.25 is: 5,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.69 : 15,411.78 = 3,702.25 : x
  2. Step 2: Convert to fraction form
    10,280.69/15,411.78 = 3,702.25/x
  3. Step 3: Cross multiply
    10,280.69x = 15,411.78 × 3,702.25
  4. Step 4: Simplify right side
    10,280.69x = 57,058,262.51
  5. Step 5: Solve for x
    x = 57,058,262.51/10,280.69
  6. Step 6: Final answer
    x = 5,550.04

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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.