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Finding the Fourth Proportional to 10,699.26, 16,055.78 and 5,772.30

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Solution

The fourth proportional to 10,699.26, 16,055.78 and 5,772.30 is: 8,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.26 : 16,055.78 = 5,772.30 : x
  2. Step 2: Convert to fraction form
    10,699.26/16,055.78 = 5,772.30/x
  3. Step 3: Cross multiply
    10,699.26x = 16,055.78 × 5,772.30
  4. Step 4: Simplify right side
    10,699.26x = 92,678,750.03
  5. Step 5: Solve for x
    x = 92,678,750.03/10,699.26
  6. Step 6: Final answer
    x = 8,662.16

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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.