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Finding the Fourth Proportional to 11,057.30, 16,564.08 and 5,196.14

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Solution

The fourth proportional to 11,057.30, 16,564.08 and 5,196.14 is: 7,783.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.30 : 16,564.08 = 5,196.14 : x
  2. Step 2: Convert to fraction form
    11,057.30/16,564.08 = 5,196.14/x
  3. Step 3: Cross multiply
    11,057.30x = 16,564.08 × 5,196.14
  4. Step 4: Simplify right side
    11,057.30x = 86,069,339.55
  5. Step 5: Solve for x
    x = 86,069,339.55/11,057.30
  6. Step 6: Final answer
    x = 7,783.94

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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.