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Finding the Fourth Proportional to 8,094.84, 11,168.16 and 4,557.30

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Solution

The fourth proportional to 8,094.84, 11,168.16 and 4,557.30 is: 6,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.84 : 11,168.16 = 4,557.30 : x
  2. Step 2: Convert to fraction form
    8,094.84/11,168.16 = 4,557.30/x
  3. Step 3: Cross multiply
    8,094.84x = 11,168.16 × 4,557.30
  4. Step 4: Simplify right side
    8,094.84x = 50,896,655.57
  5. Step 5: Solve for x
    x = 50,896,655.57/8,094.84
  6. Step 6: Final answer
    x = 6,287.54

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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.