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Finding the Fourth Proportional to 11,042.64, 16,564.08 and 3,251.60

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Solution

The fourth proportional to 11,042.64, 16,564.08 and 3,251.60 is: 4,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.64 : 16,564.08 = 3,251.60 : x
  2. Step 2: Convert to fraction form
    11,042.64/16,564.08 = 3,251.60/x
  3. Step 3: Cross multiply
    11,042.64x = 16,564.08 × 3,251.60
  4. Step 4: Simplify right side
    11,042.64x = 53,859,762.53
  5. Step 5: Solve for x
    x = 53,859,762.53/11,042.64
  6. Step 6: Final answer
    x = 4,877.44

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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.