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Finding the Fourth Proportional to 8,393.68, 11,582.34 and 5,036.64

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Solution

The fourth proportional to 8,393.68, 11,582.34 and 5,036.64 is: 6,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.68 : 11,582.34 = 5,036.64 : x
  2. Step 2: Convert to fraction form
    8,393.68/11,582.34 = 5,036.64/x
  3. Step 3: Cross multiply
    8,393.68x = 11,582.34 × 5,036.64
  4. Step 4: Simplify right side
    8,393.68x = 58,336,076.94
  5. Step 5: Solve for x
    x = 58,336,076.94/8,393.68
  6. Step 6: Final answer
    x = 6,950.00

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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.