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Finding the Fourth Proportional to 10,227.96, 15,341.94 and 4,384.08

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Solution

The fourth proportional to 10,227.96, 15,341.94 and 4,384.08 is: 6,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.96 : 15,341.94 = 4,384.08 : x
  2. Step 2: Convert to fraction form
    10,227.96/15,341.94 = 4,384.08/x
  3. Step 3: Cross multiply
    10,227.96x = 15,341.94 × 4,384.08
  4. Step 4: Simplify right side
    10,227.96x = 67,260,292.32
  5. Step 5: Solve for x
    x = 67,260,292.32/10,227.96
  6. Step 6: Final answer
    x = 6,576.12

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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.