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Finding the Fourth Proportional to 11,356.72, 15,666 and 10,618.96

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Solution

The fourth proportional to 11,356.72, 15,666 and 10,618.96 is: 14,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.72 : 15,666 = 10,618.96 : x
  2. Step 2: Convert to fraction form
    11,356.72/15,666 = 10,618.96/x
  3. Step 3: Cross multiply
    11,356.72x = 15,666 × 10,618.96
  4. Step 4: Simplify right side
    11,356.72x = 166,356,627.36
  5. Step 5: Solve for x
    x = 166,356,627.36/11,356.72
  6. Step 6: Final answer
    x = 14,648.30

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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.