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Finding the Fourth Proportional to 10,000.69, 13,803.62 and 6,221.71

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Solution

The fourth proportional to 10,000.69, 13,803.62 and 6,221.71 is: 8,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.69 : 13,803.62 = 6,221.71 : x
  2. Step 2: Convert to fraction form
    10,000.69/13,803.62 = 6,221.71/x
  3. Step 3: Cross multiply
    10,000.69x = 13,803.62 × 6,221.71
  4. Step 4: Simplify right side
    10,000.69x = 85,882,054.97
  5. Step 5: Solve for x
    x = 85,882,054.97/10,000.69
  6. Step 6: Final answer
    x = 8,587.62

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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.