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Finding the Fourth Proportional to 10,206.96, 15,295.59 and 5,815.14

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Solution

The fourth proportional to 10,206.96, 15,295.59 and 5,815.14 is: 8,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.96 : 15,295.59 = 5,815.14 : x
  2. Step 2: Convert to fraction form
    10,206.96/15,295.59 = 5,815.14/x
  3. Step 3: Cross multiply
    10,206.96x = 15,295.59 × 5,815.14
  4. Step 4: Simplify right side
    10,206.96x = 88,945,997.23
  5. Step 5: Solve for x
    x = 88,945,997.23/10,206.96
  6. Step 6: Final answer
    x = 8,714.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.