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Finding the Fourth Proportional to 10,509.39, 14,503.08 and 5,793.75

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Solution

The fourth proportional to 10,509.39, 14,503.08 and 5,793.75 is: 7,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.39 : 14,503.08 = 5,793.75 : x
  2. Step 2: Convert to fraction form
    10,509.39/14,503.08 = 5,793.75/x
  3. Step 3: Cross multiply
    10,509.39x = 14,503.08 × 5,793.75
  4. Step 4: Simplify right side
    10,509.39x = 84,027,219.75
  5. Step 5: Solve for x
    x = 84,027,219.75/10,509.39
  6. Step 6: Final answer
    x = 7,995.44

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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.