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Finding the Fourth Proportional to 7,561.78, 11,334.26 and 5,706.88

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Solution

The fourth proportional to 7,561.78, 11,334.26 and 5,706.88 is: 8,553.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.78 : 11,334.26 = 5,706.88 : x
  2. Step 2: Convert to fraction form
    7,561.78/11,334.26 = 5,706.88/x
  3. Step 3: Cross multiply
    7,561.78x = 11,334.26 × 5,706.88
  4. Step 4: Simplify right side
    7,561.78x = 64,683,261.71
  5. Step 5: Solve for x
    x = 64,683,261.71/7,561.78
  6. Step 6: Final answer
    x = 8,553.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.