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Finding the Fourth Proportional to 7,311.94, 10,090.65 and 4,168.06

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Solution

The fourth proportional to 7,311.94, 10,090.65 and 4,168.06 is: 5,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.94 : 10,090.65 = 4,168.06 : x
  2. Step 2: Convert to fraction form
    7,311.94/10,090.65 = 4,168.06/x
  3. Step 3: Cross multiply
    7,311.94x = 10,090.65 × 4,168.06
  4. Step 4: Simplify right side
    7,311.94x = 42,058,434.64
  5. Step 5: Solve for x
    x = 42,058,434.64/7,311.94
  6. Step 6: Final answer
    x = 5,752.02

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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.