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Finding the Fourth Proportional to 11,302.74, 16,956.54 and 3,512.16

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Solution

The fourth proportional to 11,302.74, 16,956.54 and 3,512.16 is: 5,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.74 : 16,956.54 = 3,512.16 : x
  2. Step 2: Convert to fraction form
    11,302.74/16,956.54 = 3,512.16/x
  3. Step 3: Cross multiply
    11,302.74x = 16,956.54 × 3,512.16
  4. Step 4: Simplify right side
    11,302.74x = 59,554,081.53
  5. Step 5: Solve for x
    x = 59,554,081.53/11,302.74
  6. Step 6: Final answer
    x = 5,269.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.