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Finding the Fourth Proportional to 11,863.30, 16,371.93 and 6,558.70

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Solution

The fourth proportional to 11,863.30, 16,371.93 and 6,558.70 is: 9,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.30 : 16,371.93 = 6,558.70 : x
  2. Step 2: Convert to fraction form
    11,863.30/16,371.93 = 6,558.70/x
  3. Step 3: Cross multiply
    11,863.30x = 16,371.93 × 6,558.70
  4. Step 4: Simplify right side
    11,863.30x = 107,378,577.29
  5. Step 5: Solve for x
    x = 107,378,577.29/11,863.30
  6. Step 6: Final answer
    x = 9,051.32

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Why These Related Problems?

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