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Finding the Fourth Proportional to 10,511.40, 15,773.22 and 5,835.32

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Solution

The fourth proportional to 10,511.40, 15,773.22 and 5,835.32 is: 8,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.40 : 15,773.22 = 5,835.32 : x
  2. Step 2: Convert to fraction form
    10,511.40/15,773.22 = 5,835.32/x
  3. Step 3: Cross multiply
    10,511.40x = 15,773.22 × 5,835.32
  4. Step 4: Simplify right side
    10,511.40x = 92,041,786.13
  5. Step 5: Solve for x
    x = 92,041,786.13/10,511.40
  6. Step 6: Final answer
    x = 8,756.38

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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.