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Finding the Fourth Proportional to 8,225.76, 11,351.44 and 4,689.03

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Solution

The fourth proportional to 8,225.76, 11,351.44 and 4,689.03 is: 6,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.76 : 11,351.44 = 4,689.03 : x
  2. Step 2: Convert to fraction form
    8,225.76/11,351.44 = 4,689.03/x
  3. Step 3: Cross multiply
    8,225.76x = 11,351.44 × 4,689.03
  4. Step 4: Simplify right side
    8,225.76x = 53,227,242.70
  5. Step 5: Solve for x
    x = 53,227,242.70/8,225.76
  6. Step 6: Final answer
    x = 6,470.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.