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Finding the Fourth Proportional to 10,872.98, 15,004.47 and 6,157.16

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Solution

The fourth proportional to 10,872.98, 15,004.47 and 6,157.16 is: 8,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.98 : 15,004.47 = 6,157.16 : x
  2. Step 2: Convert to fraction form
    10,872.98/15,004.47 = 6,157.16/x
  3. Step 3: Cross multiply
    10,872.98x = 15,004.47 × 6,157.16
  4. Step 4: Simplify right side
    10,872.98x = 92,384,922.51
  5. Step 5: Solve for x
    x = 92,384,922.51/10,872.98
  6. Step 6: Final answer
    x = 8,496.74

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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.