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Finding the Fourth Proportional to 7,796.70, 11,695.14 and 2,602.58

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Solution

The fourth proportional to 7,796.70, 11,695.14 and 2,602.58 is: 3,903.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.70 : 11,695.14 = 2,602.58 : x
  2. Step 2: Convert to fraction form
    7,796.70/11,695.14 = 2,602.58/x
  3. Step 3: Cross multiply
    7,796.70x = 11,695.14 × 2,602.58
  4. Step 4: Simplify right side
    7,796.70x = 30,437,537.46
  5. Step 5: Solve for x
    x = 30,437,537.46/7,796.70
  6. Step 6: Final answer
    x = 3,903.90

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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.