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Finding the Fourth Proportional to 11,655.79, 16,085.30 and 6,350.95

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Solution

The fourth proportional to 11,655.79, 16,085.30 and 6,350.95 is: 8,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.79 : 16,085.30 = 6,350.95 : x
  2. Step 2: Convert to fraction form
    11,655.79/16,085.30 = 6,350.95/x
  3. Step 3: Cross multiply
    11,655.79x = 16,085.30 × 6,350.95
  4. Step 4: Simplify right side
    11,655.79x = 102,156,936.04
  5. Step 5: Solve for x
    x = 102,156,936.04/11,655.79
  6. Step 6: Final answer
    x = 8,764.48

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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.