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Finding the Fourth Proportional to 11,490.29, 15,856.76 and 6,774.57

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Solution

The fourth proportional to 11,490.29, 15,856.76 and 6,774.57 is: 9,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.29 : 15,856.76 = 6,774.57 : x
  2. Step 2: Convert to fraction form
    11,490.29/15,856.76 = 6,774.57/x
  3. Step 3: Cross multiply
    11,490.29x = 15,856.76 × 6,774.57
  4. Step 4: Simplify right side
    11,490.29x = 107,422,747.53
  5. Step 5: Solve for x
    x = 107,422,747.53/11,490.29
  6. Step 6: Final answer
    x = 9,349.00

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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.