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Finding the Fourth Proportional to 10,964.04, 15,131.64 and 6,249

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Solution

The fourth proportional to 10,964.04, 15,131.64 and 6,249 is: 8,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.04 : 15,131.64 = 6,249 : x
  2. Step 2: Convert to fraction form
    10,964.04/15,131.64 = 6,249/x
  3. Step 3: Cross multiply
    10,964.04x = 15,131.64 × 6,249
  4. Step 4: Simplify right side
    10,964.04x = 94,557,618.36
  5. Step 5: Solve for x
    x = 94,557,618.36/10,964.04
  6. Step 6: Final answer
    x = 8,624.34

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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.