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Finding the Fourth Proportional to 7,695.78, 10,620.23 and 4,158.98

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Solution

The fourth proportional to 7,695.78, 10,620.23 and 4,158.98 is: 5,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.78 : 10,620.23 = 4,158.98 : x
  2. Step 2: Convert to fraction form
    7,695.78/10,620.23 = 4,158.98/x
  3. Step 3: Cross multiply
    7,695.78x = 10,620.23 × 4,158.98
  4. Step 4: Simplify right side
    7,695.78x = 44,169,329.92
  5. Step 5: Solve for x
    x = 44,169,329.92/7,695.78
  6. Step 6: Final answer
    x = 5,739.42

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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.