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Finding the Fourth Proportional to 10,201.06, 15,288.63 and 5,578.66

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Solution

The fourth proportional to 10,201.06, 15,288.63 and 5,578.66 is: 8,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.06 : 15,288.63 = 5,578.66 : x
  2. Step 2: Convert to fraction form
    10,201.06/15,288.63 = 5,578.66/x
  3. Step 3: Cross multiply
    10,201.06x = 15,288.63 × 5,578.66
  4. Step 4: Simplify right side
    10,201.06x = 85,290,068.64
  5. Step 5: Solve for x
    x = 85,290,068.64/10,201.06
  6. Step 6: Final answer
    x = 8,360.90

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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.