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Finding the Fourth Proportional to 6,846.42, 10,251.27 and 4,762.02

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Solution

The fourth proportional to 6,846.42, 10,251.27 and 4,762.02 is: 7,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.42 : 10,251.27 = 4,762.02 : x
  2. Step 2: Convert to fraction form
    6,846.42/10,251.27 = 4,762.02/x
  3. Step 3: Cross multiply
    6,846.42x = 10,251.27 × 4,762.02
  4. Step 4: Simplify right side
    6,846.42x = 48,816,752.77
  5. Step 5: Solve for x
    x = 48,816,752.77/6,846.42
  6. Step 6: Final answer
    x = 7,130.26

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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.