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Finding the Fourth Proportional to 11,284.64, 16,925.76 and 5,044.88

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Solution

The fourth proportional to 11,284.64, 16,925.76 and 5,044.88 is: 7,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.64 : 16,925.76 = 5,044.88 : x
  2. Step 2: Convert to fraction form
    11,284.64/16,925.76 = 5,044.88/x
  3. Step 3: Cross multiply
    11,284.64x = 16,925.76 × 5,044.88
  4. Step 4: Simplify right side
    11,284.64x = 85,388,428.11
  5. Step 5: Solve for x
    x = 85,388,428.11/11,284.64
  6. Step 6: Final answer
    x = 7,566.78

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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.