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Finding the Fourth Proportional to 7,734.71, 11,602.04 and 2,540.59

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Solution

The fourth proportional to 7,734.71, 11,602.04 and 2,540.59 is: 3,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.71 : 11,602.04 = 2,540.59 : x
  2. Step 2: Convert to fraction form
    7,734.71/11,602.04 = 2,540.59/x
  3. Step 3: Cross multiply
    7,734.71x = 11,602.04 × 2,540.59
  4. Step 4: Simplify right side
    7,734.71x = 29,475,985.10
  5. Step 5: Solve for x
    x = 29,475,985.10/7,734.71
  6. Step 6: Final answer
    x = 3,810.87

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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.