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Finding the Fourth Proportional to 11,405.56, 15,739.50 and 6,437.56

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Solution

The fourth proportional to 11,405.56, 15,739.50 and 6,437.56 is: 8,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.56 : 15,739.50 = 6,437.56 : x
  2. Step 2: Convert to fraction form
    11,405.56/15,739.50 = 6,437.56/x
  3. Step 3: Cross multiply
    11,405.56x = 15,739.50 × 6,437.56
  4. Step 4: Simplify right side
    11,405.56x = 101,323,975.62
  5. Step 5: Solve for x
    x = 101,323,975.62/11,405.56
  6. Step 6: Final answer
    x = 8,883.74

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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.