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Finding the Fourth Proportional to 12,053.56, 18,083.07 and 6,506.74

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Solution

The fourth proportional to 12,053.56, 18,083.07 and 6,506.74 is: 9,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.56 : 18,083.07 = 6,506.74 : x
  2. Step 2: Convert to fraction form
    12,053.56/18,083.07 = 6,506.74/x
  3. Step 3: Cross multiply
    12,053.56x = 18,083.07 × 6,506.74
  4. Step 4: Simplify right side
    12,053.56x = 117,661,834.89
  5. Step 5: Solve for x
    x = 117,661,834.89/12,053.56
  6. Step 6: Final answer
    x = 9,761.58

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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.