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Finding the Fourth Proportional to 8,932.94, 13,398.45 and 3,668.50

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Solution

The fourth proportional to 8,932.94, 13,398.45 and 3,668.50 is: 5,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932.94 : 13,398.45 = 3,668.50 : x
  2. Step 2: Convert to fraction form
    8,932.94/13,398.45 = 3,668.50/x
  3. Step 3: Cross multiply
    8,932.94x = 13,398.45 × 3,668.50
  4. Step 4: Simplify right side
    8,932.94x = 49,152,146.83
  5. Step 5: Solve for x
    x = 49,152,146.83/8,932.94
  6. Step 6: Final answer
    x = 5,502.35

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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.