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Finding the Fourth Proportional to 10,591.72, 14,615.04 and 6,815.23

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Solution

The fourth proportional to 10,591.72, 14,615.04 and 6,815.23 is: 9,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.72 : 14,615.04 = 6,815.23 : x
  2. Step 2: Convert to fraction form
    10,591.72/14,615.04 = 6,815.23/x
  3. Step 3: Cross multiply
    10,591.72x = 14,615.04 × 6,815.23
  4. Step 4: Simplify right side
    10,591.72x = 99,604,859.06
  5. Step 5: Solve for x
    x = 99,604,859.06/10,591.72
  6. Step 6: Final answer
    x = 9,404.03

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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.