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Finding the Fourth Proportional to 7,961.76, 10,985.22 and 5,307.39

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Solution

The fourth proportional to 7,961.76, 10,985.22 and 5,307.39 is: 7,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.76 : 10,985.22 = 5,307.39 : x
  2. Step 2: Convert to fraction form
    7,961.76/10,985.22 = 5,307.39/x
  3. Step 3: Cross multiply
    7,961.76x = 10,985.22 × 5,307.39
  4. Step 4: Simplify right side
    7,961.76x = 58,302,846.78
  5. Step 5: Solve for x
    x = 58,302,846.78/7,961.76
  6. Step 6: Final answer
    x = 7,322.86

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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.