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Finding the Fourth Proportional to 8,084.54, 11,158.02 and 4,681.05

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Solution

The fourth proportional to 8,084.54, 11,158.02 and 4,681.05 is: 6,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.54 : 11,158.02 = 4,681.05 : x
  2. Step 2: Convert to fraction form
    8,084.54/11,158.02 = 4,681.05/x
  3. Step 3: Cross multiply
    8,084.54x = 11,158.02 × 4,681.05
  4. Step 4: Simplify right side
    8,084.54x = 52,231,249.52
  5. Step 5: Solve for x
    x = 52,231,249.52/8,084.54
  6. Step 6: Final answer
    x = 6,460.64

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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.