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Finding the Fourth Proportional to 10,462.79, 14,435.07 and 5,984.91

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Solution

The fourth proportional to 10,462.79, 14,435.07 and 5,984.91 is: 8,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.79 : 14,435.07 = 5,984.91 : x
  2. Step 2: Convert to fraction form
    10,462.79/14,435.07 = 5,984.91/x
  3. Step 3: Cross multiply
    10,462.79x = 14,435.07 × 5,984.91
  4. Step 4: Simplify right side
    10,462.79x = 86,392,594.79
  5. Step 5: Solve for x
    x = 86,392,594.79/10,462.79
  6. Step 6: Final answer
    x = 8,257.13

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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.