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Finding the Fourth Proportional to 10,323.39, 14,245.88 and 5,847.39

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Solution

The fourth proportional to 10,323.39, 14,245.88 and 5,847.39 is: 8,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.39 : 14,245.88 = 5,847.39 : x
  2. Step 2: Convert to fraction form
    10,323.39/14,245.88 = 5,847.39/x
  3. Step 3: Cross multiply
    10,323.39x = 14,245.88 × 5,847.39
  4. Step 4: Simplify right side
    10,323.39x = 83,301,187.02
  5. Step 5: Solve for x
    x = 83,301,187.02/10,323.39
  6. Step 6: Final answer
    x = 8,069.17

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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.