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Finding the Fourth Proportional to 11,657.79, 16,088.13 and 6,352.74

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Solution

The fourth proportional to 11,657.79, 16,088.13 and 6,352.74 is: 8,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.79 : 16,088.13 = 6,352.74 : x
  2. Step 2: Convert to fraction form
    11,657.79/16,088.13 = 6,352.74/x
  3. Step 3: Cross multiply
    11,657.79x = 16,088.13 × 6,352.74
  4. Step 4: Simplify right side
    11,657.79x = 102,203,706.98
  5. Step 5: Solve for x
    x = 102,203,706.98/11,657.79
  6. Step 6: Final answer
    x = 8,766.99

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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.