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Finding the Fourth Proportional to 11,395.08, 15,725.34 and 6,427.08

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Solution

The fourth proportional to 11,395.08, 15,725.34 and 6,427.08 is: 8,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.08 : 15,725.34 = 6,427.08 : x
  2. Step 2: Convert to fraction form
    11,395.08/15,725.34 = 6,427.08/x
  3. Step 3: Cross multiply
    11,395.08x = 15,725.34 × 6,427.08
  4. Step 4: Simplify right side
    11,395.08x = 101,068,018.21
  5. Step 5: Solve for x
    x = 101,068,018.21/11,395.08
  6. Step 6: Final answer
    x = 8,869.44

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Why These Related Problems?

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