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Finding the Fourth Proportional to 11,162.51, 15,404.13 and 6,446.69

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Solution

The fourth proportional to 11,162.51, 15,404.13 and 6,446.69 is: 8,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.51 : 15,404.13 = 6,446.69 : x
  2. Step 2: Convert to fraction form
    11,162.51/15,404.13 = 6,446.69/x
  3. Step 3: Cross multiply
    11,162.51x = 15,404.13 × 6,446.69
  4. Step 4: Simplify right side
    11,162.51x = 99,305,573.81
  5. Step 5: Solve for x
    x = 99,305,573.81/11,162.51
  6. Step 6: Final answer
    x = 8,896.35

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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.