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Finding the Fourth Proportional to 8,006.31, 12,009.47 and 5,103.07

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Solution

The fourth proportional to 8,006.31, 12,009.47 and 5,103.07 is: 7,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.31 : 12,009.47 = 5,103.07 : x
  2. Step 2: Convert to fraction form
    8,006.31/12,009.47 = 5,103.07/x
  3. Step 3: Cross multiply
    8,006.31x = 12,009.47 × 5,103.07
  4. Step 4: Simplify right side
    8,006.31x = 61,285,110.53
  5. Step 5: Solve for x
    x = 61,285,110.53/8,006.31
  6. Step 6: Final answer
    x = 7,654.60

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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.