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Finding the Fourth Proportional to 6,816.60, 9,380.34 and 6,032.52

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Solution

The fourth proportional to 6,816.60, 9,380.34 and 6,032.52 is: 8,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.60 : 9,380.34 = 6,032.52 : x
  2. Step 2: Convert to fraction form
    6,816.60/9,380.34 = 6,032.52/x
  3. Step 3: Cross multiply
    6,816.60x = 9,380.34 × 6,032.52
  4. Step 4: Simplify right side
    6,816.60x = 56,587,088.66
  5. Step 5: Solve for x
    x = 56,587,088.66/6,816.60
  6. Step 6: Final answer
    x = 8,301.37

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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.