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Finding the Fourth Proportional to 8,098.08, 11,171.53 and 4,738.83

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Solution

The fourth proportional to 8,098.08, 11,171.53 and 4,738.83 is: 6,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.08 : 11,171.53 = 4,738.83 : x
  2. Step 2: Convert to fraction form
    8,098.08/11,171.53 = 4,738.83/x
  3. Step 3: Cross multiply
    8,098.08x = 11,171.53 × 4,738.83
  4. Step 4: Simplify right side
    8,098.08x = 52,939,957.82
  5. Step 5: Solve for x
    x = 52,939,957.82/8,098.08
  6. Step 6: Final answer
    x = 6,537.35

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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.