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Finding the Fourth Proportional to 7,735.14, 11,602.77 and 2,470.95

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Solution

The fourth proportional to 7,735.14, 11,602.77 and 2,470.95 is: 3,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.14 : 11,602.77 = 2,470.95 : x
  2. Step 2: Convert to fraction form
    7,735.14/11,602.77 = 2,470.95/x
  3. Step 3: Cross multiply
    7,735.14x = 11,602.77 × 2,470.95
  4. Step 4: Simplify right side
    7,735.14x = 28,669,864.53
  5. Step 5: Solve for x
    x = 28,669,864.53/7,735.14
  6. Step 6: Final answer
    x = 3,706.44

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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.