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Finding the Fourth Proportional to 10,989.74, 15,165.86 and 5,953.96

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Solution

The fourth proportional to 10,989.74, 15,165.86 and 5,953.96 is: 8,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.74 : 15,165.86 = 5,953.96 : x
  2. Step 2: Convert to fraction form
    10,989.74/15,165.86 = 5,953.96/x
  3. Step 3: Cross multiply
    10,989.74x = 15,165.86 × 5,953.96
  4. Step 4: Simplify right side
    10,989.74x = 90,296,923.81
  5. Step 5: Solve for x
    x = 90,296,923.81/10,989.74
  6. Step 6: Final answer
    x = 8,216.47

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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.