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Finding the Fourth Proportional to 7,762.74, 10,712.52 and 4,225.98

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Solution

The fourth proportional to 7,762.74, 10,712.52 and 4,225.98 is: 5,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.74 : 10,712.52 = 4,225.98 : x
  2. Step 2: Convert to fraction form
    7,762.74/10,712.52 = 4,225.98/x
  3. Step 3: Cross multiply
    7,762.74x = 10,712.52 × 4,225.98
  4. Step 4: Simplify right side
    7,762.74x = 45,270,895.27
  5. Step 5: Solve for x
    x = 45,270,895.27/7,762.74
  6. Step 6: Final answer
    x = 5,831.82

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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.