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Finding the Fourth Proportional to 7,259.72, 10,023.20 and 5,578.05

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Solution

The fourth proportional to 7,259.72, 10,023.20 and 5,578.05 is: 7,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.72 : 10,023.20 = 5,578.05 : x
  2. Step 2: Convert to fraction form
    7,259.72/10,023.20 = 5,578.05/x
  3. Step 3: Cross multiply
    7,259.72x = 10,023.20 × 5,578.05
  4. Step 4: Simplify right side
    7,259.72x = 55,909,882.87
  5. Step 5: Solve for x
    x = 55,909,882.87/7,259.72
  6. Step 6: Final answer
    x = 7,701.39

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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.