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Finding the Fourth Proportional to 10,181.19, 14,049.93 and 5,705.13

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Solution

The fourth proportional to 10,181.19, 14,049.93 and 5,705.13 is: 7,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.19 : 14,049.93 = 5,705.13 : x
  2. Step 2: Convert to fraction form
    10,181.19/14,049.93 = 5,705.13/x
  3. Step 3: Cross multiply
    10,181.19x = 14,049.93 × 5,705.13
  4. Step 4: Simplify right side
    10,181.19x = 80,156,677.14
  5. Step 5: Solve for x
    x = 80,156,677.14/10,181.19
  6. Step 6: Final answer
    x = 7,873.02

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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.