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Finding the Fourth Proportional to 7,760.32, 10,709.04 and 4,530.80

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Solution

The fourth proportional to 7,760.32, 10,709.04 and 4,530.80 is: 6,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.32 : 10,709.04 = 4,530.80 : x
  2. Step 2: Convert to fraction form
    7,760.32/10,709.04 = 4,530.80/x
  3. Step 3: Cross multiply
    7,760.32x = 10,709.04 × 4,530.80
  4. Step 4: Simplify right side
    7,760.32x = 48,520,518.43
  5. Step 5: Solve for x
    x = 48,520,518.43/7,760.32
  6. Step 6: Final answer
    x = 6,252.39

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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.