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Finding the Fourth Proportional to 8,103, 11,182.04 and 4,566.24

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Solution

The fourth proportional to 8,103, 11,182.04 and 4,566.24 is: 6,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103 : 11,182.04 = 4,566.24 : x
  2. Step 2: Convert to fraction form
    8,103/11,182.04 = 4,566.24/x
  3. Step 3: Cross multiply
    8,103x = 11,182.04 × 4,566.24
  4. Step 4: Simplify right side
    8,103x = 51,059,878.33
  5. Step 5: Solve for x
    x = 51,059,878.33/8,103
  6. Step 6: Final answer
    x = 6,301.35

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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.