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Finding the Fourth Proportional to 7,294.60, 10,056.18 and 5,192.20

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Solution

The fourth proportional to 7,294.60, 10,056.18 and 5,192.20 is: 7,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.60 : 10,056.18 = 5,192.20 : x
  2. Step 2: Convert to fraction form
    7,294.60/10,056.18 = 5,192.20/x
  3. Step 3: Cross multiply
    7,294.60x = 10,056.18 × 5,192.20
  4. Step 4: Simplify right side
    7,294.60x = 52,213,697.80
  5. Step 5: Solve for x
    x = 52,213,697.80/7,294.60
  6. Step 6: Final answer
    x = 7,157.86

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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.