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Finding the Fourth Proportional to 7,529.76, 10,400.34 and 5,649.78

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Solution

The fourth proportional to 7,529.76, 10,400.34 and 5,649.78 is: 7,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.76 : 10,400.34 = 5,649.78 : x
  2. Step 2: Convert to fraction form
    7,529.76/10,400.34 = 5,649.78/x
  3. Step 3: Cross multiply
    7,529.76x = 10,400.34 × 5,649.78
  4. Step 4: Simplify right side
    7,529.76x = 58,759,632.93
  5. Step 5: Solve for x
    x = 58,759,632.93/7,529.76
  6. Step 6: Final answer
    x = 7,803.65

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