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Finding the Fourth Proportional to 7,462.88, 10,293.54 and 6,466.38

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Solution

The fourth proportional to 7,462.88, 10,293.54 and 6,466.38 is: 8,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.88 : 10,293.54 = 6,466.38 : x
  2. Step 2: Convert to fraction form
    7,462.88/10,293.54 = 6,466.38/x
  3. Step 3: Cross multiply
    7,462.88x = 10,293.54 × 6,466.38
  4. Step 4: Simplify right side
    7,462.88x = 66,561,941.19
  5. Step 5: Solve for x
    x = 66,561,941.19/7,462.88
  6. Step 6: Final answer
    x = 8,919.07

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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.