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Finding the Fourth Proportional to 7,602.93, 11,405.54 and 3,442.84

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Solution

The fourth proportional to 7,602.93, 11,405.54 and 3,442.84 is: 5,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.93 : 11,405.54 = 3,442.84 : x
  2. Step 2: Convert to fraction form
    7,602.93/11,405.54 = 3,442.84/x
  3. Step 3: Cross multiply
    7,602.93x = 11,405.54 × 3,442.84
  4. Step 4: Simplify right side
    7,602.93x = 39,267,429.43
  5. Step 5: Solve for x
    x = 39,267,429.43/7,602.93
  6. Step 6: Final answer
    x = 5,164.78

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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.