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Finding the Fourth Proportional to 10,533.38, 14,536.11 and 6,057.39

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Solution

The fourth proportional to 10,533.38, 14,536.11 and 6,057.39 is: 8,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.38 : 14,536.11 = 6,057.39 : x
  2. Step 2: Convert to fraction form
    10,533.38/14,536.11 = 6,057.39/x
  3. Step 3: Cross multiply
    10,533.38x = 14,536.11 × 6,057.39
  4. Step 4: Simplify right side
    10,533.38x = 88,050,889.62
  5. Step 5: Solve for x
    x = 88,050,889.62/10,533.38
  6. Step 6: Final answer
    x = 8,359.23

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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.