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Finding the Fourth Proportional to 10,405.65, 14,355.75 and 6,419.85

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Solution

The fourth proportional to 10,405.65, 14,355.75 and 6,419.85 is: 8,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.65 : 14,355.75 = 6,419.85 : x
  2. Step 2: Convert to fraction form
    10,405.65/14,355.75 = 6,419.85/x
  3. Step 3: Cross multiply
    10,405.65x = 14,355.75 × 6,419.85
  4. Step 4: Simplify right side
    10,405.65x = 92,161,761.64
  5. Step 5: Solve for x
    x = 92,161,761.64/10,405.65
  6. Step 6: Final answer
    x = 8,856.90

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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.