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Finding the Fourth Proportional to 7,762.03, 11,644.78 and 2,831.67

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Solution

The fourth proportional to 7,762.03, 11,644.78 and 2,831.67 is: 4,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.03 : 11,644.78 = 2,831.67 : x
  2. Step 2: Convert to fraction form
    7,762.03/11,644.78 = 2,831.67/x
  3. Step 3: Cross multiply
    7,762.03x = 11,644.78 × 2,831.67
  4. Step 4: Simplify right side
    7,762.03x = 32,974,185.80
  5. Step 5: Solve for x
    x = 32,974,185.80/7,762.03
  6. Step 6: Final answer
    x = 4,248.14

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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.