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Finding the Fourth Proportional to 7,600.14, 10,483.98 and 6,185.34

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Solution

The fourth proportional to 7,600.14, 10,483.98 and 6,185.34 is: 8,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.14 : 10,483.98 = 6,185.34 : x
  2. Step 2: Convert to fraction form
    7,600.14/10,483.98 = 6,185.34/x
  3. Step 3: Cross multiply
    7,600.14x = 10,483.98 × 6,185.34
  4. Step 4: Simplify right side
    7,600.14x = 64,846,980.85
  5. Step 5: Solve for x
    x = 64,846,980.85/7,600.14
  6. Step 6: Final answer
    x = 8,532.34

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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.