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Finding the Fourth Proportional to 10,994.65, 15,173.39 and 6,214.63

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Solution

The fourth proportional to 10,994.65, 15,173.39 and 6,214.63 is: 8,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.65 : 15,173.39 = 6,214.63 : x
  2. Step 2: Convert to fraction form
    10,994.65/15,173.39 = 6,214.63/x
  3. Step 3: Cross multiply
    10,994.65x = 15,173.39 × 6,214.63
  4. Step 4: Simplify right side
    10,994.65x = 94,296,933.12
  5. Step 5: Solve for x
    x = 94,296,933.12/10,994.65
  6. Step 6: Final answer
    x = 8,576.62

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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.