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Finding the Fourth Proportional to 10,486.96, 15,725.56 and 3,911.36

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Solution

The fourth proportional to 10,486.96, 15,725.56 and 3,911.36 is: 5,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.96 : 15,725.56 = 3,911.36 : x
  2. Step 2: Convert to fraction form
    10,486.96/15,725.56 = 3,911.36/x
  3. Step 3: Cross multiply
    10,486.96x = 15,725.56 × 3,911.36
  4. Step 4: Simplify right side
    10,486.96x = 61,508,326.36
  5. Step 5: Solve for x
    x = 61,508,326.36/10,486.96
  6. Step 6: Final answer
    x = 5,865.22

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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.