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Finding the Fourth Proportional to 10,199.84, 15,291.12 and 5,516.96

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Solution

The fourth proportional to 10,199.84, 15,291.12 and 5,516.96 is: 8,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.84 : 15,291.12 = 5,516.96 : x
  2. Step 2: Convert to fraction form
    10,199.84/15,291.12 = 5,516.96/x
  3. Step 3: Cross multiply
    10,199.84x = 15,291.12 × 5,516.96
  4. Step 4: Simplify right side
    10,199.84x = 84,360,497.40
  5. Step 5: Solve for x
    x = 84,360,497.40/10,199.84
  6. Step 6: Final answer
    x = 8,270.77

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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.