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Finding the Fourth Proportional to 10,798.86, 16,188.57 and 3,868.50

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Solution

The fourth proportional to 10,798.86, 16,188.57 and 3,868.50 is: 5,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.86 : 16,188.57 = 3,868.50 : x
  2. Step 2: Convert to fraction form
    10,798.86/16,188.57 = 3,868.50/x
  3. Step 3: Cross multiply
    10,798.86x = 16,188.57 × 3,868.50
  4. Step 4: Simplify right side
    10,798.86x = 62,625,483.05
  5. Step 5: Solve for x
    x = 62,625,483.05/10,798.86
  6. Step 6: Final answer
    x = 5,799.27

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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.