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Finding the Fourth Proportional to 7,578.15, 10,458.03 and 4,221.02

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Solution

The fourth proportional to 7,578.15, 10,458.03 and 4,221.02 is: 5,825.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.15 : 10,458.03 = 4,221.02 : x
  2. Step 2: Convert to fraction form
    7,578.15/10,458.03 = 4,221.02/x
  3. Step 3: Cross multiply
    7,578.15x = 10,458.03 × 4,221.02
  4. Step 4: Simplify right side
    7,578.15x = 44,143,504.42
  5. Step 5: Solve for x
    x = 44,143,504.42/7,578.15
  6. Step 6: Final answer
    x = 5,825.11

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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.