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Finding the Fourth Proportional to 8,189.48, 11,301.13 and 4,653.02

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Solution

The fourth proportional to 8,189.48, 11,301.13 and 4,653.02 is: 6,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.48 : 11,301.13 = 4,653.02 : x
  2. Step 2: Convert to fraction form
    8,189.48/11,301.13 = 4,653.02/x
  3. Step 3: Cross multiply
    8,189.48x = 11,301.13 × 4,653.02
  4. Step 4: Simplify right side
    8,189.48x = 52,584,383.91
  5. Step 5: Solve for x
    x = 52,584,383.91/8,189.48
  6. Step 6: Final answer
    x = 6,420.97

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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.