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Finding the Fourth Proportional to 7,726.92, 10,662.18 and 4,582.50

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Solution

The fourth proportional to 7,726.92, 10,662.18 and 4,582.50 is: 6,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.92 : 10,662.18 = 4,582.50 : x
  2. Step 2: Convert to fraction form
    7,726.92/10,662.18 = 4,582.50/x
  3. Step 3: Cross multiply
    7,726.92x = 10,662.18 × 4,582.50
  4. Step 4: Simplify right side
    7,726.92x = 48,859,439.85
  5. Step 5: Solve for x
    x = 48,859,439.85/7,726.92
  6. Step 6: Final answer
    x = 6,323.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.