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Finding the Fourth Proportional to 8,200.51, 12,301.65 and 3,006.38

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Solution

The fourth proportional to 8,200.51, 12,301.65 and 3,006.38 is: 4,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.51 : 12,301.65 = 3,006.38 : x
  2. Step 2: Convert to fraction form
    8,200.51/12,301.65 = 3,006.38/x
  3. Step 3: Cross multiply
    8,200.51x = 12,301.65 × 3,006.38
  4. Step 4: Simplify right side
    8,200.51x = 36,983,434.53
  5. Step 5: Solve for x
    x = 36,983,434.53/8,200.51
  6. Step 6: Final answer
    x = 4,509.89

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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.