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Finding the Fourth Proportional to 10,757.12, 14,844.93 and 6,219.46

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Solution

The fourth proportional to 10,757.12, 14,844.93 and 6,219.46 is: 8,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.12 : 14,844.93 = 6,219.46 : x
  2. Step 2: Convert to fraction form
    10,757.12/14,844.93 = 6,219.46/x
  3. Step 3: Cross multiply
    10,757.12x = 14,844.93 × 6,219.46
  4. Step 4: Simplify right side
    10,757.12x = 92,327,448.34
  5. Step 5: Solve for x
    x = 92,327,448.34/10,757.12
  6. Step 6: Final answer
    x = 8,582.92

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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.