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Finding the Fourth Proportional to 10,486.50, 14,474.61 and 6,760.50

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Solution

The fourth proportional to 10,486.50, 14,474.61 and 6,760.50 is: 9,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.50 : 14,474.61 = 6,760.50 : x
  2. Step 2: Convert to fraction form
    10,486.50/14,474.61 = 6,760.50/x
  3. Step 3: Cross multiply
    10,486.50x = 14,474.61 × 6,760.50
  4. Step 4: Simplify right side
    10,486.50x = 97,855,600.91
  5. Step 5: Solve for x
    x = 97,855,600.91/10,486.50
  6. Step 6: Final answer
    x = 9,331.58

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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.