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Finding the Fourth Proportional to 10,509.80, 14,503.62 and 5,793.96

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Solution

The fourth proportional to 10,509.80, 14,503.62 and 5,793.96 is: 7,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.80 : 14,503.62 = 5,793.96 : x
  2. Step 2: Convert to fraction form
    10,509.80/14,503.62 = 5,793.96/x
  3. Step 3: Cross multiply
    10,509.80x = 14,503.62 × 5,793.96
  4. Step 4: Simplify right side
    10,509.80x = 84,033,394.14
  5. Step 5: Solve for x
    x = 84,033,394.14/10,509.80
  6. Step 6: Final answer
    x = 7,995.72

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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.