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Finding the Fourth Proportional to 10,361.40, 14,305.80 and 7,967.16

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Solution

The fourth proportional to 10,361.40, 14,305.80 and 7,967.16 is: 11,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.40 : 14,305.80 = 7,967.16 : x
  2. Step 2: Convert to fraction form
    10,361.40/14,305.80 = 7,967.16/x
  3. Step 3: Cross multiply
    10,361.40x = 14,305.80 × 7,967.16
  4. Step 4: Simplify right side
    10,361.40x = 113,976,597.53
  5. Step 5: Solve for x
    x = 113,976,597.53/10,361.40
  6. Step 6: Final answer
    x = 11,000.12

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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.