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Finding the Fourth Proportional to 12,775.68, 19,164.96 and 5,849.28

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Solution

The fourth proportional to 12,775.68, 19,164.96 and 5,849.28 is: 8,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.68 : 19,164.96 = 5,849.28 : x
  2. Step 2: Convert to fraction form
    12,775.68/19,164.96 = 5,849.28/x
  3. Step 3: Cross multiply
    12,775.68x = 19,164.96 × 5,849.28
  4. Step 4: Simplify right side
    12,775.68x = 112,101,217.23
  5. Step 5: Solve for x
    x = 112,101,217.23/12,775.68
  6. Step 6: Final answer
    x = 8,774.58

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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.