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Finding the Fourth Proportional to 10,463.51, 14,435.19 and 8,863.35

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Solution

The fourth proportional to 10,463.51, 14,435.19 and 8,863.35 is: 12,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.51 : 14,435.19 = 8,863.35 : x
  2. Step 2: Convert to fraction form
    10,463.51/14,435.19 = 8,863.35/x
  3. Step 3: Cross multiply
    10,463.51x = 14,435.19 × 8,863.35
  4. Step 4: Simplify right side
    10,463.51x = 127,944,141.29
  5. Step 5: Solve for x
    x = 127,944,141.29/10,463.51
  6. Step 6: Final answer
    x = 12,227.66

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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.