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Finding the Fourth Proportional to 8,363.94, 11,542.08 and 4,587

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Solution

The fourth proportional to 8,363.94, 11,542.08 and 4,587 is: 6,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.94 : 11,542.08 = 4,587 : x
  2. Step 2: Convert to fraction form
    8,363.94/11,542.08 = 4,587/x
  3. Step 3: Cross multiply
    8,363.94x = 11,542.08 × 4,587
  4. Step 4: Simplify right side
    8,363.94x = 52,943,520.96
  5. Step 5: Solve for x
    x = 52,943,520.96/8,363.94
  6. Step 6: Final answer
    x = 6,329.97

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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.