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Finding the Fourth Proportional to 11,922.95, 16,461.23 and 7,675.58

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Solution

The fourth proportional to 11,922.95, 16,461.23 and 7,675.58 is: 10,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.95 : 16,461.23 = 7,675.58 : x
  2. Step 2: Convert to fraction form
    11,922.95/16,461.23 = 7,675.58/x
  3. Step 3: Cross multiply
    11,922.95x = 16,461.23 × 7,675.58
  4. Step 4: Simplify right side
    11,922.95x = 126,349,367.08
  5. Step 5: Solve for x
    x = 126,349,367.08/11,922.95
  6. Step 6: Final answer
    x = 10,597.16

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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.