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Finding the Fourth Proportional to 12,069.41, 16,654.55 and 6,763.10

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Solution

The fourth proportional to 12,069.41, 16,654.55 and 6,763.10 is: 9,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.41 : 16,654.55 = 6,763.10 : x
  2. Step 2: Convert to fraction form
    12,069.41/16,654.55 = 6,763.10/x
  3. Step 3: Cross multiply
    12,069.41x = 16,654.55 × 6,763.10
  4. Step 4: Simplify right side
    12,069.41x = 112,636,270.02
  5. Step 5: Solve for x
    x = 112,636,270.02/12,069.41
  6. Step 6: Final answer
    x = 9,332.38

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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.