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Finding the Fourth Proportional to 7,647.34, 10,552.86 and 4,244.14

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Solution

The fourth proportional to 7,647.34, 10,552.86 and 4,244.14 is: 5,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.34 : 10,552.86 = 4,244.14 : x
  2. Step 2: Convert to fraction form
    7,647.34/10,552.86 = 4,244.14/x
  3. Step 3: Cross multiply
    7,647.34x = 10,552.86 × 4,244.14
  4. Step 4: Simplify right side
    7,647.34x = 44,787,815.24
  5. Step 5: Solve for x
    x = 44,787,815.24/7,647.34
  6. Step 6: Final answer
    x = 5,856.65

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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.