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Finding the Fourth Proportional to 7,612.50, 11,357.34 and 6,781.44

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Solution

The fourth proportional to 7,612.50, 11,357.34 and 6,781.44 is: 10,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.50 : 11,357.34 = 6,781.44 : x
  2. Step 2: Convert to fraction form
    7,612.50/11,357.34 = 6,781.44/x
  3. Step 3: Cross multiply
    7,612.50x = 11,357.34 × 6,781.44
  4. Step 4: Simplify right side
    7,612.50x = 77,019,119.77
  5. Step 5: Solve for x
    x = 77,019,119.77/7,612.50
  6. Step 6: Final answer
    x = 10,117.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.