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Finding the Fourth Proportional to 10,323.59, 14,246.89 and 5,847.24

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Solution

The fourth proportional to 10,323.59, 14,246.89 and 5,847.24 is: 8,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.59 : 14,246.89 = 5,847.24 : x
  2. Step 2: Convert to fraction form
    10,323.59/14,246.89 = 5,847.24/x
  3. Step 3: Cross multiply
    10,323.59x = 14,246.89 × 5,847.24
  4. Step 4: Simplify right side
    10,323.59x = 83,305,045.82
  5. Step 5: Solve for x
    x = 83,305,045.82/10,323.59
  6. Step 6: Final answer
    x = 8,069.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.