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Finding the Fourth Proportional to 7,925.16, 10,941.84 and 4,942.20

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Solution

The fourth proportional to 7,925.16, 10,941.84 and 4,942.20 is: 6,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.16 : 10,941.84 = 4,942.20 : x
  2. Step 2: Convert to fraction form
    7,925.16/10,941.84 = 4,942.20/x
  3. Step 3: Cross multiply
    7,925.16x = 10,941.84 × 4,942.20
  4. Step 4: Simplify right side
    7,925.16x = 54,076,761.65
  5. Step 5: Solve for x
    x = 54,076,761.65/7,925.16
  6. Step 6: Final answer
    x = 6,823.43

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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.