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Finding the Fourth Proportional to 10,396.52, 14,338.32 and 8,128.52

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Solution

The fourth proportional to 10,396.52, 14,338.32 and 8,128.52 is: 11,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.52 : 14,338.32 = 8,128.52 : x
  2. Step 2: Convert to fraction form
    10,396.52/14,338.32 = 8,128.52/x
  3. Step 3: Cross multiply
    10,396.52x = 14,338.32 × 8,128.52
  4. Step 4: Simplify right side
    10,396.52x = 116,549,320.89
  5. Step 5: Solve for x
    x = 116,549,320.89/10,396.52
  6. Step 6: Final answer
    x = 11,210.42

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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.