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Finding the Fourth Proportional to 10,665.84, 15,998.64 and 4,818.36

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Solution

The fourth proportional to 10,665.84, 15,998.64 and 4,818.36 is: 7,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.84 : 15,998.64 = 4,818.36 : x
  2. Step 2: Convert to fraction form
    10,665.84/15,998.64 = 4,818.36/x
  3. Step 3: Cross multiply
    10,665.84x = 15,998.64 × 4,818.36
  4. Step 4: Simplify right side
    10,665.84x = 77,087,207.03
  5. Step 5: Solve for x
    x = 77,087,207.03/10,665.84
  6. Step 6: Final answer
    x = 7,227.49

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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.