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Finding the Fourth Proportional to 7,462.40, 11,193.50 and 1,915.72

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Solution

The fourth proportional to 7,462.40, 11,193.50 and 1,915.72 is: 2,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.40 : 11,193.50 = 1,915.72 : x
  2. Step 2: Convert to fraction form
    7,462.40/11,193.50 = 1,915.72/x
  3. Step 3: Cross multiply
    7,462.40x = 11,193.50 × 1,915.72
  4. Step 4: Simplify right side
    7,462.40x = 21,443,611.82
  5. Step 5: Solve for x
    x = 21,443,611.82/7,462.40
  6. Step 6: Final answer
    x = 2,873.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.