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Finding the Fourth Proportional to 11,416.77, 15,759.27 and 7,389.09

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Solution

The fourth proportional to 11,416.77, 15,759.27 and 7,389.09 is: 10,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.77 : 15,759.27 = 7,389.09 : x
  2. Step 2: Convert to fraction form
    11,416.77/15,759.27 = 7,389.09/x
  3. Step 3: Cross multiply
    11,416.77x = 15,759.27 × 7,389.09
  4. Step 4: Simplify right side
    11,416.77x = 116,446,664.36
  5. Step 5: Solve for x
    x = 116,446,664.36/11,416.77
  6. Step 6: Final answer
    x = 10,199.62

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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.