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Finding the Fourth Proportional to 7,775.44, 11,627.70 and 5,802.46

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Solution

The fourth proportional to 7,775.44, 11,627.70 and 5,802.46 is: 8,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.44 : 11,627.70 = 5,802.46 : x
  2. Step 2: Convert to fraction form
    7,775.44/11,627.70 = 5,802.46/x
  3. Step 3: Cross multiply
    7,775.44x = 11,627.70 × 5,802.46
  4. Step 4: Simplify right side
    7,775.44x = 67,469,264.14
  5. Step 5: Solve for x
    x = 67,469,264.14/7,775.44
  6. Step 6: Final answer
    x = 8,677.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.