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Finding the Fourth Proportional to 7,307.64, 10,084.77 and 4,163.63

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Solution

The fourth proportional to 7,307.64, 10,084.77 and 4,163.63 is: 5,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.64 : 10,084.77 = 4,163.63 : x
  2. Step 2: Convert to fraction form
    7,307.64/10,084.77 = 4,163.63/x
  3. Step 3: Cross multiply
    7,307.64x = 10,084.77 × 4,163.63
  4. Step 4: Simplify right side
    7,307.64x = 41,989,200.49
  5. Step 5: Solve for x
    x = 41,989,200.49/7,307.64
  6. Step 6: Final answer
    x = 5,745.93

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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.