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Finding the Fourth Proportional to 8,194.50, 11,312.19 and 5,052.51

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Solution

The fourth proportional to 8,194.50, 11,312.19 and 5,052.51 is: 6,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.50 : 11,312.19 = 5,052.51 : x
  2. Step 2: Convert to fraction form
    8,194.50/11,312.19 = 5,052.51/x
  3. Step 3: Cross multiply
    8,194.50x = 11,312.19 × 5,052.51
  4. Step 4: Simplify right side
    8,194.50x = 57,154,953.10
  5. Step 5: Solve for x
    x = 57,154,953.10/8,194.50
  6. Step 6: Final answer
    x = 6,974.79

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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.