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Finding the Fourth Proportional to 10,451.67, 14,409.05 and 7,462.31

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Solution

The fourth proportional to 10,451.67, 14,409.05 and 7,462.31 is: 10,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.67 : 14,409.05 = 7,462.31 : x
  2. Step 2: Convert to fraction form
    10,451.67/14,409.05 = 7,462.31/x
  3. Step 3: Cross multiply
    10,451.67x = 14,409.05 × 7,462.31
  4. Step 4: Simplify right side
    10,451.67x = 107,524,688.55
  5. Step 5: Solve for x
    x = 107,524,688.55/10,451.67
  6. Step 6: Final answer
    x = 10,287.80

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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.