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Finding the Fourth Proportional to 12,773.10, 19,135.89 and 6,934.62

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Solution

The fourth proportional to 12,773.10, 19,135.89 and 6,934.62 is: 10,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.10 : 19,135.89 = 6,934.62 : x
  2. Step 2: Convert to fraction form
    12,773.10/19,135.89 = 6,934.62/x
  3. Step 3: Cross multiply
    12,773.10x = 19,135.89 × 6,934.62
  4. Step 4: Simplify right side
    12,773.10x = 132,700,125.51
  5. Step 5: Solve for x
    x = 132,700,125.51/12,773.10
  6. Step 6: Final answer
    x = 10,389.03

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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.