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Finding the Fourth Proportional to 6,941.29, 10,412.03 and 2,261.32

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Solution

The fourth proportional to 6,941.29, 10,412.03 and 2,261.32 is: 3,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.29 : 10,412.03 = 2,261.32 : x
  2. Step 2: Convert to fraction form
    6,941.29/10,412.03 = 2,261.32/x
  3. Step 3: Cross multiply
    6,941.29x = 10,412.03 × 2,261.32
  4. Step 4: Simplify right side
    6,941.29x = 23,544,931.68
  5. Step 5: Solve for x
    x = 23,544,931.68/6,941.29
  6. Step 6: Final answer
    x = 3,392.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.