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Finding the Fourth Proportional to 7,762.12, 10,711.42 and 4,225.34

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Solution

The fourth proportional to 7,762.12, 10,711.42 and 4,225.34 is: 5,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.12 : 10,711.42 = 4,225.34 : x
  2. Step 2: Convert to fraction form
    7,762.12/10,711.42 = 4,225.34/x
  3. Step 3: Cross multiply
    7,762.12x = 10,711.42 × 4,225.34
  4. Step 4: Simplify right side
    7,762.12x = 45,259,391.38
  5. Step 5: Solve for x
    x = 45,259,391.38/7,762.12
  6. Step 6: Final answer
    x = 5,830.80

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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.