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Finding the Fourth Proportional to 10,486.36, 15,713.22 and 3,910.78

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Solution

The fourth proportional to 10,486.36, 15,713.22 and 3,910.78 is: 5,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.36 : 15,713.22 = 3,910.78 : x
  2. Step 2: Convert to fraction form
    10,486.36/15,713.22 = 3,910.78/x
  3. Step 3: Cross multiply
    10,486.36x = 15,713.22 × 3,910.78
  4. Step 4: Simplify right side
    10,486.36x = 61,450,946.51
  5. Step 5: Solve for x
    x = 61,450,946.51/10,486.36
  6. Step 6: Final answer
    x = 5,860.08

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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.