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Finding the Fourth Proportional to 10,064.14, 13,887.86 and 6,287.08

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Solution

The fourth proportional to 10,064.14, 13,887.86 and 6,287.08 is: 8,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.14 : 13,887.86 = 6,287.08 : x
  2. Step 2: Convert to fraction form
    10,064.14/13,887.86 = 6,287.08/x
  3. Step 3: Cross multiply
    10,064.14x = 13,887.86 × 6,287.08
  4. Step 4: Simplify right side
    10,064.14x = 87,314,086.85
  5. Step 5: Solve for x
    x = 87,314,086.85/10,064.14
  6. Step 6: Final answer
    x = 8,675.76

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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.