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Finding the Fourth Proportional to 10,289.77, 15,435.38 and 5,094.25

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Solution

The fourth proportional to 10,289.77, 15,435.38 and 5,094.25 is: 7,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.77 : 15,435.38 = 5,094.25 : x
  2. Step 2: Convert to fraction form
    10,289.77/15,435.38 = 5,094.25/x
  3. Step 3: Cross multiply
    10,289.77x = 15,435.38 × 5,094.25
  4. Step 4: Simplify right side
    10,289.77x = 78,631,684.57
  5. Step 5: Solve for x
    x = 78,631,684.57/10,289.77
  6. Step 6: Final answer
    x = 7,641.73

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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.