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Finding the Fourth Proportional to 10,462.65, 14,440.51 and 5,926.14

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Solution

The fourth proportional to 10,462.65, 14,440.51 and 5,926.14 is: 8,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.65 : 14,440.51 = 5,926.14 : x
  2. Step 2: Convert to fraction form
    10,462.65/14,440.51 = 5,926.14/x
  3. Step 3: Cross multiply
    10,462.65x = 14,440.51 × 5,926.14
  4. Step 4: Simplify right side
    10,462.65x = 85,576,491.34
  5. Step 5: Solve for x
    x = 85,576,491.34/10,462.65
  6. Step 6: Final answer
    x = 8,179.24

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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.