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Finding the Fourth Proportional to 7,884.36, 11,825.46 and 4,599

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Solution

The fourth proportional to 7,884.36, 11,825.46 and 4,599 is: 6,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.36 : 11,825.46 = 4,599 : x
  2. Step 2: Convert to fraction form
    7,884.36/11,825.46 = 4,599/x
  3. Step 3: Cross multiply
    7,884.36x = 11,825.46 × 4,599
  4. Step 4: Simplify right side
    7,884.36x = 54,385,290.54
  5. Step 5: Solve for x
    x = 54,385,290.54/7,884.36
  6. Step 6: Final answer
    x = 6,897.87

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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.