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Finding the Fourth Proportional to 7,696, 10,621.52 and 4,339.50

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Solution

The fourth proportional to 7,696, 10,621.52 and 4,339.50 is: 5,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696 : 10,621.52 = 4,339.50 : x
  2. Step 2: Convert to fraction form
    7,696/10,621.52 = 4,339.50/x
  3. Step 3: Cross multiply
    7,696x = 10,621.52 × 4,339.50
  4. Step 4: Simplify right side
    7,696x = 46,092,086.04
  5. Step 5: Solve for x
    x = 46,092,086.04/7,696
  6. Step 6: Final answer
    x = 5,989.10

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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.