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Finding the Fourth Proportional to 7,314.57, 10,094.10 and 3,957.38

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Solution

The fourth proportional to 7,314.57, 10,094.10 and 3,957.38 is: 5,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.57 : 10,094.10 = 3,957.38 : x
  2. Step 2: Convert to fraction form
    7,314.57/10,094.10 = 3,957.38/x
  3. Step 3: Cross multiply
    7,314.57x = 10,094.10 × 3,957.38
  4. Step 4: Simplify right side
    7,314.57x = 39,946,189.46
  5. Step 5: Solve for x
    x = 39,946,189.46/7,314.57
  6. Step 6: Final answer
    x = 5,461.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.