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Finding the Fourth Proportional to 7,311.64, 10,089.42 and 4,125.16

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Solution

The fourth proportional to 7,311.64, 10,089.42 and 4,125.16 is: 5,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.64 : 10,089.42 = 4,125.16 : x
  2. Step 2: Convert to fraction form
    7,311.64/10,089.42 = 4,125.16/x
  3. Step 3: Cross multiply
    7,311.64x = 10,089.42 × 4,125.16
  4. Step 4: Simplify right side
    7,311.64x = 41,620,471.81
  5. Step 5: Solve for x
    x = 41,620,471.81/7,311.64
  6. Step 6: Final answer
    x = 5,692.36

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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.