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Finding the Fourth Proportional to 8,443.62, 11,646.72 and 5,084.01

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Solution

The fourth proportional to 8,443.62, 11,646.72 and 5,084.01 is: 7,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.62 : 11,646.72 = 5,084.01 : x
  2. Step 2: Convert to fraction form
    8,443.62/11,646.72 = 5,084.01/x
  3. Step 3: Cross multiply
    8,443.62x = 11,646.72 × 5,084.01
  4. Step 4: Simplify right side
    8,443.62x = 59,212,040.95
  5. Step 5: Solve for x
    x = 59,212,040.95/8,443.62
  6. Step 6: Final answer
    x = 7,012.64

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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.