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Finding the Fourth Proportional to 11,007.64, 16,511.46 and 3,897.16

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Solution

The fourth proportional to 11,007.64, 16,511.46 and 3,897.16 is: 5,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.64 : 16,511.46 = 3,897.16 : x
  2. Step 2: Convert to fraction form
    11,007.64/16,511.46 = 3,897.16/x
  3. Step 3: Cross multiply
    11,007.64x = 16,511.46 × 3,897.16
  4. Step 4: Simplify right side
    11,007.64x = 64,347,801.45
  5. Step 5: Solve for x
    x = 64,347,801.45/11,007.64
  6. Step 6: Final answer
    x = 5,845.74

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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.