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Finding the Fourth Proportional to 11,981.95, 16,531.76 and 7,733.18

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Solution

The fourth proportional to 11,981.95, 16,531.76 and 7,733.18 is: 10,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.95 : 16,531.76 = 7,733.18 : x
  2. Step 2: Convert to fraction form
    11,981.95/16,531.76 = 7,733.18/x
  3. Step 3: Cross multiply
    11,981.95x = 16,531.76 × 7,733.18
  4. Step 4: Simplify right side
    11,981.95x = 127,843,136.46
  5. Step 5: Solve for x
    x = 127,843,136.46/11,981.95
  6. Step 6: Final answer
    x = 10,669.65

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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.