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Finding the Fourth Proportional to 7,118.86, 10,678.50 and 1,924.78

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Solution

The fourth proportional to 7,118.86, 10,678.50 and 1,924.78 is: 2,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.86 : 10,678.50 = 1,924.78 : x
  2. Step 2: Convert to fraction form
    7,118.86/10,678.50 = 1,924.78/x
  3. Step 3: Cross multiply
    7,118.86x = 10,678.50 × 1,924.78
  4. Step 4: Simplify right side
    7,118.86x = 20,553,763.23
  5. Step 5: Solve for x
    x = 20,553,763.23/7,118.86
  6. Step 6: Final answer
    x = 2,887.23

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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.