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Finding the Fourth Proportional to 11,845.92, 16,345.57 and 7,872.87

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Solution

The fourth proportional to 11,845.92, 16,345.57 and 7,872.87 is: 10,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845.92 : 16,345.57 = 7,872.87 : x
  2. Step 2: Convert to fraction form
    11,845.92/16,345.57 = 7,872.87/x
  3. Step 3: Cross multiply
    11,845.92x = 16,345.57 × 7,872.87
  4. Step 4: Simplify right side
    11,845.92x = 128,686,547.69
  5. Step 5: Solve for x
    x = 128,686,547.69/11,845.92
  6. Step 6: Final answer
    x = 10,863.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.