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Finding the Fourth Proportional to 10,341.68, 15,511.80 and 5,945.36

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Solution

The fourth proportional to 10,341.68, 15,511.80 and 5,945.36 is: 8,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.68 : 15,511.80 = 5,945.36 : x
  2. Step 2: Convert to fraction form
    10,341.68/15,511.80 = 5,945.36/x
  3. Step 3: Cross multiply
    10,341.68x = 15,511.80 × 5,945.36
  4. Step 4: Simplify right side
    10,341.68x = 92,223,235.25
  5. Step 5: Solve for x
    x = 92,223,235.25/10,341.68
  6. Step 6: Final answer
    x = 8,917.63

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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.