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Finding the Fourth Proportional to 7,802.43, 11,702.17 and 2,804.02

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Solution

The fourth proportional to 7,802.43, 11,702.17 and 2,804.02 is: 4,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.43 : 11,702.17 = 2,804.02 : x
  2. Step 2: Convert to fraction form
    7,802.43/11,702.17 = 2,804.02/x
  3. Step 3: Cross multiply
    7,802.43x = 11,702.17 × 2,804.02
  4. Step 4: Simplify right side
    7,802.43x = 32,813,092.97
  5. Step 5: Solve for x
    x = 32,813,092.97/7,802.43
  6. Step 6: Final answer
    x = 4,205.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.