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Finding the Fourth Proportional to 10,451.86, 14,362.21 and 8,352.34

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Solution

The fourth proportional to 10,451.86, 14,362.21 and 8,352.34 is: 11,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.86 : 14,362.21 = 8,352.34 : x
  2. Step 2: Convert to fraction form
    10,451.86/14,362.21 = 8,352.34/x
  3. Step 3: Cross multiply
    10,451.86x = 14,362.21 × 8,352.34
  4. Step 4: Simplify right side
    10,451.86x = 119,958,061.07
  5. Step 5: Solve for x
    x = 119,958,061.07/10,451.86
  6. Step 6: Final answer
    x = 11,477.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.