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Finding the Fourth Proportional to 10,409.62, 14,365.34 and 6,160.63

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Solution

The fourth proportional to 10,409.62, 14,365.34 and 6,160.63 is: 8,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.62 : 14,365.34 = 6,160.63 : x
  2. Step 2: Convert to fraction form
    10,409.62/14,365.34 = 6,160.63/x
  3. Step 3: Cross multiply
    10,409.62x = 14,365.34 × 6,160.63
  4. Step 4: Simplify right side
    10,409.62x = 88,499,544.56
  5. Step 5: Solve for x
    x = 88,499,544.56/10,409.62
  6. Step 6: Final answer
    x = 8,501.71

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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.