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Finding the Fourth Proportional to 8,117.94, 11,200.10 and 4,532.30

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Solution

The fourth proportional to 8,117.94, 11,200.10 and 4,532.30 is: 6,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.94 : 11,200.10 = 4,532.30 : x
  2. Step 2: Convert to fraction form
    8,117.94/11,200.10 = 4,532.30/x
  3. Step 3: Cross multiply
    8,117.94x = 11,200.10 × 4,532.30
  4. Step 4: Simplify right side
    8,117.94x = 50,762,213.23
  5. Step 5: Solve for x
    x = 50,762,213.23/8,117.94
  6. Step 6: Final answer
    x = 6,253.09

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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.