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Finding the Fourth Proportional to 11,296.25, 15,587.71 and 6,516.63

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Solution

The fourth proportional to 11,296.25, 15,587.71 and 6,516.63 is: 8,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.25 : 15,587.71 = 6,516.63 : x
  2. Step 2: Convert to fraction form
    11,296.25/15,587.71 = 6,516.63/x
  3. Step 3: Cross multiply
    11,296.25x = 15,587.71 × 6,516.63
  4. Step 4: Simplify right side
    11,296.25x = 101,579,306.03
  5. Step 5: Solve for x
    x = 101,579,306.03/11,296.25
  6. Step 6: Final answer
    x = 8,992.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.