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Finding the Fourth Proportional to 7,832.16, 10,808.64 and 4,295.70

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Solution

The fourth proportional to 7,832.16, 10,808.64 and 4,295.70 is: 5,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.16 : 10,808.64 = 4,295.70 : x
  2. Step 2: Convert to fraction form
    7,832.16/10,808.64 = 4,295.70/x
  3. Step 3: Cross multiply
    7,832.16x = 10,808.64 × 4,295.70
  4. Step 4: Simplify right side
    7,832.16x = 46,430,674.85
  5. Step 5: Solve for x
    x = 46,430,674.85/7,832.16
  6. Step 6: Final answer
    x = 5,928.21

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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.