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Finding the Fourth Proportional to 11,037.76, 16,537.38 and 9,200.68

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Solution

The fourth proportional to 11,037.76, 16,537.38 and 9,200.68 is: 13,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,037.76 : 16,537.38 = 9,200.68 : x
  2. Step 2: Convert to fraction form
    11,037.76/16,537.38 = 9,200.68/x
  3. Step 3: Cross multiply
    11,037.76x = 16,537.38 × 9,200.68
  4. Step 4: Simplify right side
    11,037.76x = 152,155,141.42
  5. Step 5: Solve for x
    x = 152,155,141.42/11,037.76
  6. Step 6: Final answer
    x = 13,784.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.