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Finding the Fourth Proportional to 8,389.50, 11,578.85 and 4,854.66

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Solution

The fourth proportional to 8,389.50, 11,578.85 and 4,854.66 is: 6,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.50 : 11,578.85 = 4,854.66 : x
  2. Step 2: Convert to fraction form
    8,389.50/11,578.85 = 4,854.66/x
  3. Step 3: Cross multiply
    8,389.50x = 11,578.85 × 4,854.66
  4. Step 4: Simplify right side
    8,389.50x = 56,211,379.94
  5. Step 5: Solve for x
    x = 56,211,379.94/8,389.50
  6. Step 6: Final answer
    x = 6,700.21

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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.