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Finding the Fourth Proportional to 11,754.83, 16,222.76 and 6,718.07

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Solution

The fourth proportional to 11,754.83, 16,222.76 and 6,718.07 is: 9,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.83 : 16,222.76 = 6,718.07 : x
  2. Step 2: Convert to fraction form
    11,754.83/16,222.76 = 6,718.07/x
  3. Step 3: Cross multiply
    11,754.83x = 16,222.76 × 6,718.07
  4. Step 4: Simplify right side
    11,754.83x = 108,985,572.95
  5. Step 5: Solve for x
    x = 108,985,572.95/11,754.83
  6. Step 6: Final answer
    x = 9,271.55

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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.