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Finding the Fourth Proportional to 8,189.12, 11,301.02 and 4,652.53

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Solution

The fourth proportional to 8,189.12, 11,301.02 and 4,652.53 is: 6,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.12 : 11,301.02 = 4,652.53 : x
  2. Step 2: Convert to fraction form
    8,189.12/11,301.02 = 4,652.53/x
  3. Step 3: Cross multiply
    8,189.12x = 11,301.02 × 4,652.53
  4. Step 4: Simplify right side
    8,189.12x = 52,578,305.49
  5. Step 5: Solve for x
    x = 52,578,305.49/8,189.12
  6. Step 6: Final answer
    x = 6,420.51

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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.