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Finding the Fourth Proportional to 10,490.46, 14,476.50 and 5,774.73

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Solution

The fourth proportional to 10,490.46, 14,476.50 and 5,774.73 is: 7,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.46 : 14,476.50 = 5,774.73 : x
  2. Step 2: Convert to fraction form
    10,490.46/14,476.50 = 5,774.73/x
  3. Step 3: Cross multiply
    10,490.46x = 14,476.50 × 5,774.73
  4. Step 4: Simplify right side
    10,490.46x = 83,597,878.85
  5. Step 5: Solve for x
    x = 83,597,878.85/10,490.46
  6. Step 6: Final answer
    x = 7,968.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.