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Finding the Fourth Proportional to 10,453.50, 15,685.63 and 6,945.93

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Solution

The fourth proportional to 10,453.50, 15,685.63 and 6,945.93 is: 10,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.50 : 15,685.63 = 6,945.93 : x
  2. Step 2: Convert to fraction form
    10,453.50/15,685.63 = 6,945.93/x
  3. Step 3: Cross multiply
    10,453.50x = 15,685.63 × 6,945.93
  4. Step 4: Simplify right side
    10,453.50x = 108,951,270.62
  5. Step 5: Solve for x
    x = 108,951,270.62/10,453.50
  6. Step 6: Final answer
    x = 10,422.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.