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Finding the Fourth Proportional to 10,099.30, 13,943.88 and 6,323.98

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Solution

The fourth proportional to 10,099.30, 13,943.88 and 6,323.98 is: 8,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.30 : 13,943.88 = 6,323.98 : x
  2. Step 2: Convert to fraction form
    10,099.30/13,943.88 = 6,323.98/x
  3. Step 3: Cross multiply
    10,099.30x = 13,943.88 × 6,323.98
  4. Step 4: Simplify right side
    10,099.30x = 88,180,818.24
  5. Step 5: Solve for x
    x = 88,180,818.24/10,099.30
  6. Step 6: Final answer
    x = 8,731.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.