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Finding the Fourth Proportional to 11,514.02, 15,889.28 and 6,737.22

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Solution

The fourth proportional to 11,514.02, 15,889.28 and 6,737.22 is: 9,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.02 : 15,889.28 = 6,737.22 : x
  2. Step 2: Convert to fraction form
    11,514.02/15,889.28 = 6,737.22/x
  3. Step 3: Cross multiply
    11,514.02x = 15,889.28 × 6,737.22
  4. Step 4: Simplify right side
    11,514.02x = 107,049,541.32
  5. Step 5: Solve for x
    x = 107,049,541.32/11,514.02
  6. Step 6: Final answer
    x = 9,297.33

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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.