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Finding the Fourth Proportional to 7,684.88, 11,510.91 and 7,253.55

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Solution

The fourth proportional to 7,684.88, 11,510.91 and 7,253.55 is: 10,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.88 : 11,510.91 = 7,253.55 : x
  2. Step 2: Convert to fraction form
    7,684.88/11,510.91 = 7,253.55/x
  3. Step 3: Cross multiply
    7,684.88x = 11,510.91 × 7,253.55
  4. Step 4: Simplify right side
    7,684.88x = 83,494,961.23
  5. Step 5: Solve for x
    x = 83,494,961.23/7,684.88
  6. Step 6: Final answer
    x = 10,864.84

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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.