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Finding the Fourth Proportional to 7,465.88, 10,302.31 and 4,322.27

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Solution

The fourth proportional to 7,465.88, 10,302.31 and 4,322.27 is: 5,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.88 : 10,302.31 = 4,322.27 : x
  2. Step 2: Convert to fraction form
    7,465.88/10,302.31 = 4,322.27/x
  3. Step 3: Cross multiply
    7,465.88x = 10,302.31 × 4,322.27
  4. Step 4: Simplify right side
    7,465.88x = 44,529,365.44
  5. Step 5: Solve for x
    x = 44,529,365.44/7,465.88
  6. Step 6: Final answer
    x = 5,964.38

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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.