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Finding the Fourth Proportional to 8,193.76, 11,312.04 and 5,404.12

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Solution

The fourth proportional to 8,193.76, 11,312.04 and 5,404.12 is: 7,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.76 : 11,312.04 = 5,404.12 : x
  2. Step 2: Convert to fraction form
    8,193.76/11,312.04 = 5,404.12/x
  3. Step 3: Cross multiply
    8,193.76x = 11,312.04 × 5,404.12
  4. Step 4: Simplify right side
    8,193.76x = 61,131,621.60
  5. Step 5: Solve for x
    x = 61,131,621.60/8,193.76
  6. Step 6: Final answer
    x = 7,460.75

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1.5x scale

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.