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Finding the Fourth Proportional to 10,340.93, 15,502 and 3,762.46

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Solution

The fourth proportional to 10,340.93, 15,502 and 3,762.46 is: 5,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.93 : 15,502 = 3,762.46 : x
  2. Step 2: Convert to fraction form
    10,340.93/15,502 = 3,762.46/x
  3. Step 3: Cross multiply
    10,340.93x = 15,502 × 3,762.46
  4. Step 4: Simplify right side
    10,340.93x = 58,325,654.92
  5. Step 5: Solve for x
    x = 58,325,654.92/10,340.93
  6. Step 6: Final answer
    x = 5,640.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.