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Finding the Fourth Proportional to 12,053.59, 18,083.11 and 6,506.81

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Solution

The fourth proportional to 12,053.59, 18,083.11 and 6,506.81 is: 9,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.59 : 18,083.11 = 6,506.81 : x
  2. Step 2: Convert to fraction form
    12,053.59/18,083.11 = 6,506.81/x
  3. Step 3: Cross multiply
    12,053.59x = 18,083.11 × 6,506.81
  4. Step 4: Simplify right side
    12,053.59x = 117,663,389.92
  5. Step 5: Solve for x
    x = 117,663,389.92/12,053.59
  6. Step 6: Final answer
    x = 9,761.69

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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.