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Finding the Fourth Proportional to 10,767.06, 14,841.63 and 9,863.10

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Solution

The fourth proportional to 10,767.06, 14,841.63 and 9,863.10 is: 13,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.06 : 14,841.63 = 9,863.10 : x
  2. Step 2: Convert to fraction form
    10,767.06/14,841.63 = 9,863.10/x
  3. Step 3: Cross multiply
    10,767.06x = 14,841.63 × 9,863.10
  4. Step 4: Simplify right side
    10,767.06x = 146,384,480.85
  5. Step 5: Solve for x
    x = 146,384,480.85/10,767.06
  6. Step 6: Final answer
    x = 13,595.59

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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.