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Finding the Fourth Proportional to 8,363.61, 11,542 and 4,586.94

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Solution

The fourth proportional to 8,363.61, 11,542 and 4,586.94 is: 6,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.61 : 11,542 = 4,586.94 : x
  2. Step 2: Convert to fraction form
    8,363.61/11,542 = 4,586.94/x
  3. Step 3: Cross multiply
    8,363.61x = 11,542 × 4,586.94
  4. Step 4: Simplify right side
    8,363.61x = 52,942,461.48
  5. Step 5: Solve for x
    x = 52,942,461.48/8,363.61
  6. Step 6: Final answer
    x = 6,330.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.