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Finding the Fourth Proportional to 11,646.95, 16,072.79 and 6,341.77

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Solution

The fourth proportional to 11,646.95, 16,072.79 and 6,341.77 is: 8,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.95 : 16,072.79 = 6,341.77 : x
  2. Step 2: Convert to fraction form
    11,646.95/16,072.79 = 6,341.77/x
  3. Step 3: Cross multiply
    11,646.95x = 16,072.79 × 6,341.77
  4. Step 4: Simplify right side
    11,646.95x = 101,929,865.55
  5. Step 5: Solve for x
    x = 101,929,865.55/11,646.95
  6. Step 6: Final answer
    x = 8,751.64

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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.