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Finding the Fourth Proportional to 10,759.78, 16,063.91 and 9,200.32

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Solution

The fourth proportional to 10,759.78, 16,063.91 and 9,200.32 is: 13,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.78 : 16,063.91 = 9,200.32 : x
  2. Step 2: Convert to fraction form
    10,759.78/16,063.91 = 9,200.32/x
  3. Step 3: Cross multiply
    10,759.78x = 16,063.91 × 9,200.32
  4. Step 4: Simplify right side
    10,759.78x = 147,793,112.45
  5. Step 5: Solve for x
    x = 147,793,112.45/10,759.78
  6. Step 6: Final answer
    x = 13,735.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.