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Finding the Fourth Proportional to 11,405.96, 15,739.38 and 6,437

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Solution

The fourth proportional to 11,405.96, 15,739.38 and 6,437 is: 8,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.96 : 15,739.38 = 6,437 : x
  2. Step 2: Convert to fraction form
    11,405.96/15,739.38 = 6,437/x
  3. Step 3: Cross multiply
    11,405.96x = 15,739.38 × 6,437
  4. Step 4: Simplify right side
    11,405.96x = 101,314,389.06
  5. Step 5: Solve for x
    x = 101,314,389.06/11,405.96
  6. Step 6: Final answer
    x = 8,882.58

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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.