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Finding the Fourth Proportional to 11,405.63, 15,739.77 and 6,437.63

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Solution

The fourth proportional to 11,405.63, 15,739.77 and 6,437.63 is: 8,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.63 : 15,739.77 = 6,437.63 : x
  2. Step 2: Convert to fraction form
    11,405.63/15,739.77 = 6,437.63/x
  3. Step 3: Cross multiply
    11,405.63x = 15,739.77 × 6,437.63
  4. Step 4: Simplify right side
    11,405.63x = 101,326,736.85
  5. Step 5: Solve for x
    x = 101,326,736.85/11,405.63
  6. Step 6: Final answer
    x = 8,883.93

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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.