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Finding the Fourth Proportional to 11,741.76, 16,203.63 and 6,437.07

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Solution

The fourth proportional to 11,741.76, 16,203.63 and 6,437.07 is: 8,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.76 : 16,203.63 = 6,437.07 : x
  2. Step 2: Convert to fraction form
    11,741.76/16,203.63 = 6,437.07/x
  3. Step 3: Cross multiply
    11,741.76x = 16,203.63 × 6,437.07
  4. Step 4: Simplify right side
    11,741.76x = 104,303,900.56
  5. Step 5: Solve for x
    x = 104,303,900.56/11,741.76
  6. Step 6: Final answer
    x = 8,883.16

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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.