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Finding the Fourth Proportional to 7,585.43, 10,468.38 and 5,223.47

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Solution

The fourth proportional to 7,585.43, 10,468.38 and 5,223.47 is: 7,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.43 : 10,468.38 = 5,223.47 : x
  2. Step 2: Convert to fraction form
    7,585.43/10,468.38 = 5,223.47/x
  3. Step 3: Cross multiply
    7,585.43x = 10,468.38 × 5,223.47
  4. Step 4: Simplify right side
    7,585.43x = 54,681,216.54
  5. Step 5: Solve for x
    x = 54,681,216.54/7,585.43
  6. Step 6: Final answer
    x = 7,208.72

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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.