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Finding the Fourth Proportional to 10,294.82, 15,435.57 and 6,774.17

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Solution

The fourth proportional to 10,294.82, 15,435.57 and 6,774.17 is: 10,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.82 : 15,435.57 = 6,774.17 : x
  2. Step 2: Convert to fraction form
    10,294.82/15,435.57 = 6,774.17/x
  3. Step 3: Cross multiply
    10,294.82x = 15,435.57 × 6,774.17
  4. Step 4: Simplify right side
    10,294.82x = 104,563,175.23
  5. Step 5: Solve for x
    x = 104,563,175.23/10,294.82
  6. Step 6: Final answer
    x = 10,156.87

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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.