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Finding the Fourth Proportional to 10,612.84, 15,913.79 and 4,764.44

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Solution

The fourth proportional to 10,612.84, 15,913.79 and 4,764.44 is: 7,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.84 : 15,913.79 = 4,764.44 : x
  2. Step 2: Convert to fraction form
    10,612.84/15,913.79 = 4,764.44/x
  3. Step 3: Cross multiply
    10,612.84x = 15,913.79 × 4,764.44
  4. Step 4: Simplify right side
    10,612.84x = 75,820,297.63
  5. Step 5: Solve for x
    x = 75,820,297.63/10,612.84
  6. Step 6: Final answer
    x = 7,144.20

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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.