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Finding the Fourth Proportional to 10,913.50, 15,060.64 and 5,945.50

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Solution

The fourth proportional to 10,913.50, 15,060.64 and 5,945.50 is: 8,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.50 : 15,060.64 = 5,945.50 : x
  2. Step 2: Convert to fraction form
    10,913.50/15,060.64 = 5,945.50/x
  3. Step 3: Cross multiply
    10,913.50x = 15,060.64 × 5,945.50
  4. Step 4: Simplify right side
    10,913.50x = 89,543,035.12
  5. Step 5: Solve for x
    x = 89,543,035.12/10,913.50
  6. Step 6: Final answer
    x = 8,204.80

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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.