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Finding the Fourth Proportional to 10,465.96, 14,443.11 and 5,750.32

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Solution

The fourth proportional to 10,465.96, 14,443.11 and 5,750.32 is: 7,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.96 : 14,443.11 = 5,750.32 : x
  2. Step 2: Convert to fraction form
    10,465.96/14,443.11 = 5,750.32/x
  3. Step 3: Cross multiply
    10,465.96x = 14,443.11 × 5,750.32
  4. Step 4: Simplify right side
    10,465.96x = 83,052,504.30
  5. Step 5: Solve for x
    x = 83,052,504.30/10,465.96
  6. Step 6: Final answer
    x = 7,935.49

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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.