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Finding the Fourth Proportional to 10,061.72, 13,885.76 and 5,813.56

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Solution

The fourth proportional to 10,061.72, 13,885.76 and 5,813.56 is: 8,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.72 : 13,885.76 = 5,813.56 : x
  2. Step 2: Convert to fraction form
    10,061.72/13,885.76 = 5,813.56/x
  3. Step 3: Cross multiply
    10,061.72x = 13,885.76 × 5,813.56
  4. Step 4: Simplify right side
    10,061.72x = 80,725,698.91
  5. Step 5: Solve for x
    x = 80,725,698.91/10,061.72
  6. Step 6: Final answer
    x = 8,023.05

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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.