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Finding the Fourth Proportional to 7,764.74, 11,648.54 and 7,060.49

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Solution

The fourth proportional to 7,764.74, 11,648.54 and 7,060.49 is: 10,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.74 : 11,648.54 = 7,060.49 : x
  2. Step 2: Convert to fraction form
    7,764.74/11,648.54 = 7,060.49/x
  3. Step 3: Cross multiply
    7,764.74x = 11,648.54 × 7,060.49
  4. Step 4: Simplify right side
    7,764.74x = 82,244,403.28
  5. Step 5: Solve for x
    x = 82,244,403.28/7,764.74
  6. Step 6: Final answer
    x = 10,592.04

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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.