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Finding the Fourth Proportional to 12,364.16, 17,064.78 and 7,889.30

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Solution

The fourth proportional to 12,364.16, 17,064.78 and 7,889.30 is: 10,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.16 : 17,064.78 = 7,889.30 : x
  2. Step 2: Convert to fraction form
    12,364.16/17,064.78 = 7,889.30/x
  3. Step 3: Cross multiply
    12,364.16x = 17,064.78 × 7,889.30
  4. Step 4: Simplify right side
    12,364.16x = 134,629,168.85
  5. Step 5: Solve for x
    x = 134,629,168.85/12,364.16
  6. Step 6: Final answer
    x = 10,888.66

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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.