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Finding the Fourth Proportional to 7,925.68, 11,880.42 and 5,157.91

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Solution

The fourth proportional to 7,925.68, 11,880.42 and 5,157.91 is: 7,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.68 : 11,880.42 = 5,157.91 : x
  2. Step 2: Convert to fraction form
    7,925.68/11,880.42 = 5,157.91/x
  3. Step 3: Cross multiply
    7,925.68x = 11,880.42 × 5,157.91
  4. Step 4: Simplify right side
    7,925.68x = 61,278,137.12
  5. Step 5: Solve for x
    x = 61,278,137.12/7,925.68
  6. Step 6: Final answer
    x = 7,731.59

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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.