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Finding the Fourth Proportional to 10,667.41, 14,704.25 and 7,304.40

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Solution

The fourth proportional to 10,667.41, 14,704.25 and 7,304.40 is: 10,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.41 : 14,704.25 = 7,304.40 : x
  2. Step 2: Convert to fraction form
    10,667.41/14,704.25 = 7,304.40/x
  3. Step 3: Cross multiply
    10,667.41x = 14,704.25 × 7,304.40
  4. Step 4: Simplify right side
    10,667.41x = 107,405,741.96
  5. Step 5: Solve for x
    x = 107,405,741.96/10,667.41
  6. Step 6: Final answer
    x = 10,068.59

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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.