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Finding the Fourth Proportional to 7,648.69, 11,473.05 and 6,160.95

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Solution

The fourth proportional to 7,648.69, 11,473.05 and 6,160.95 is: 9,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.69 : 11,473.05 = 6,160.95 : x
  2. Step 2: Convert to fraction form
    7,648.69/11,473.05 = 6,160.95/x
  3. Step 3: Cross multiply
    7,648.69x = 11,473.05 × 6,160.95
  4. Step 4: Simplify right side
    7,648.69x = 70,684,887.40
  5. Step 5: Solve for x
    x = 70,684,887.40/7,648.69
  6. Step 6: Final answer
    x = 9,241.44

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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.