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Finding the Fourth Proportional to 11,490.59, 15,863.06 and 7,733.50

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Solution

The fourth proportional to 11,490.59, 15,863.06 and 7,733.50 is: 10,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.59 : 15,863.06 = 7,733.50 : x
  2. Step 2: Convert to fraction form
    11,490.59/15,863.06 = 7,733.50/x
  3. Step 3: Cross multiply
    11,490.59x = 15,863.06 × 7,733.50
  4. Step 4: Simplify right side
    11,490.59x = 122,676,999.91
  5. Step 5: Solve for x
    x = 122,676,999.91/11,490.59
  6. Step 6: Final answer
    x = 10,676.30

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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.