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Finding the Fourth Proportional to 10,449.32, 14,419.86 and 5,733.50

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Solution

The fourth proportional to 10,449.32, 14,419.86 and 5,733.50 is: 7,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.32 : 14,419.86 = 5,733.50 : x
  2. Step 2: Convert to fraction form
    10,449.32/14,419.86 = 5,733.50/x
  3. Step 3: Cross multiply
    10,449.32x = 14,419.86 × 5,733.50
  4. Step 4: Simplify right side
    10,449.32x = 82,676,267.31
  5. Step 5: Solve for x
    x = 82,676,267.31/10,449.32
  6. Step 6: Final answer
    x = 7,912.12

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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.