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Finding the Fourth Proportional to 10,514.11, 14,510.49 and 7,856.90

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Solution

The fourth proportional to 10,514.11, 14,510.49 and 7,856.90 is: 10,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.11 : 14,510.49 = 7,856.90 : x
  2. Step 2: Convert to fraction form
    10,514.11/14,510.49 = 7,856.90/x
  3. Step 3: Cross multiply
    10,514.11x = 14,510.49 × 7,856.90
  4. Step 4: Simplify right side
    10,514.11x = 114,007,468.88
  5. Step 5: Solve for x
    x = 114,007,468.88/10,514.11
  6. Step 6: Final answer
    x = 10,843.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.