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Finding the Fourth Proportional to 10,314.91, 14,240.21 and 7,776.98

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Solution

The fourth proportional to 10,314.91, 14,240.21 and 7,776.98 is: 10,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.91 : 14,240.21 = 7,776.98 : x
  2. Step 2: Convert to fraction form
    10,314.91/14,240.21 = 7,776.98/x
  3. Step 3: Cross multiply
    10,314.91x = 14,240.21 × 7,776.98
  4. Step 4: Simplify right side
    10,314.91x = 110,745,771.68
  5. Step 5: Solve for x
    x = 110,745,771.68/10,314.91
  6. Step 6: Final answer
    x = 10,736.47

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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.