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Finding the Fourth Proportional to 7,802.44, 11,702.30 and 2,541.20

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Solution

The fourth proportional to 7,802.44, 11,702.30 and 2,541.20 is: 3,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.44 : 11,702.30 = 2,541.20 : x
  2. Step 2: Convert to fraction form
    7,802.44/11,702.30 = 2,541.20/x
  3. Step 3: Cross multiply
    7,802.44x = 11,702.30 × 2,541.20
  4. Step 4: Simplify right side
    7,802.44x = 29,737,813.54
  5. Step 5: Solve for x
    x = 29,737,813.54/7,802.44
  6. Step 6: Final answer
    x = 3,811.35

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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.