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Finding the Fourth Proportional to 10,939.96, 15,093.64 and 6,465.22

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Solution

The fourth proportional to 10,939.96, 15,093.64 and 6,465.22 is: 8,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.96 : 15,093.64 = 6,465.22 : x
  2. Step 2: Convert to fraction form
    10,939.96/15,093.64 = 6,465.22/x
  3. Step 3: Cross multiply
    10,939.96x = 15,093.64 × 6,465.22
  4. Step 4: Simplify right side
    10,939.96x = 97,583,673.55
  5. Step 5: Solve for x
    x = 97,583,673.55/10,939.96
  6. Step 6: Final answer
    x = 8,919.93

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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.