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Finding the Fourth Proportional to 8,342.01, 11,492.19 and 5,819.54

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Solution

The fourth proportional to 8,342.01, 11,492.19 and 5,819.54 is: 8,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.01 : 11,492.19 = 5,819.54 : x
  2. Step 2: Convert to fraction form
    8,342.01/11,492.19 = 5,819.54/x
  3. Step 3: Cross multiply
    8,342.01x = 11,492.19 × 5,819.54
  4. Step 4: Simplify right side
    8,342.01x = 66,879,201.93
  5. Step 5: Solve for x
    x = 66,879,201.93/8,342.01
  6. Step 6: Final answer
    x = 8,017.16

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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.