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Finding the Fourth Proportional to 8,283.38, 11,428.80 and 5,762.66

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Solution

The fourth proportional to 8,283.38, 11,428.80 and 5,762.66 is: 7,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.38 : 11,428.80 = 5,762.66 : x
  2. Step 2: Convert to fraction form
    8,283.38/11,428.80 = 5,762.66/x
  3. Step 3: Cross multiply
    8,283.38x = 11,428.80 × 5,762.66
  4. Step 4: Simplify right side
    8,283.38x = 65,860,288.61
  5. Step 5: Solve for x
    x = 65,860,288.61/8,283.38
  6. Step 6: Final answer
    x = 7,950.90

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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.