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Finding the Fourth Proportional to 8,199.48, 12,301.02 and 3,005.40

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Solution

The fourth proportional to 8,199.48, 12,301.02 and 3,005.40 is: 4,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.48 : 12,301.02 = 3,005.40 : x
  2. Step 2: Convert to fraction form
    8,199.48/12,301.02 = 3,005.40/x
  3. Step 3: Cross multiply
    8,199.48x = 12,301.02 × 3,005.40
  4. Step 4: Simplify right side
    8,199.48x = 36,969,485.51
  5. Step 5: Solve for x
    x = 36,969,485.51/8,199.48
  6. Step 6: Final answer
    x = 4,508.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.