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Finding the Fourth Proportional to 11,777.84, 17,628.30 and 8,657.02

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Solution

The fourth proportional to 11,777.84, 17,628.30 and 8,657.02 is: 12,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.84 : 17,628.30 = 8,657.02 : x
  2. Step 2: Convert to fraction form
    11,777.84/17,628.30 = 8,657.02/x
  3. Step 3: Cross multiply
    11,777.84x = 17,628.30 × 8,657.02
  4. Step 4: Simplify right side
    11,777.84x = 152,608,545.67
  5. Step 5: Solve for x
    x = 152,608,545.67/11,777.84
  6. Step 6: Final answer
    x = 12,957.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.