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Finding the Fourth Proportional to 7,461.30, 11,195.55 and 5,265.30

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Solution

The fourth proportional to 7,461.30, 11,195.55 and 5,265.30 is: 7,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.30 : 11,195.55 = 5,265.30 : x
  2. Step 2: Convert to fraction form
    7,461.30/11,195.55 = 5,265.30/x
  3. Step 3: Cross multiply
    7,461.30x = 11,195.55 × 5,265.30
  4. Step 4: Simplify right side
    7,461.30x = 58,947,929.42
  5. Step 5: Solve for x
    x = 58,947,929.42/7,461.30
  6. Step 6: Final answer
    x = 7,900.49

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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.