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Finding the Fourth Proportional to 10,757.17, 14,846.33 and 6,511.66

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Solution

The fourth proportional to 10,757.17, 14,846.33 and 6,511.66 is: 8,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.17 : 14,846.33 = 6,511.66 : x
  2. Step 2: Convert to fraction form
    10,757.17/14,846.33 = 6,511.66/x
  3. Step 3: Cross multiply
    10,757.17x = 14,846.33 × 6,511.66
  4. Step 4: Simplify right side
    10,757.17x = 96,674,146.42
  5. Step 5: Solve for x
    x = 96,674,146.42/10,757.17
  6. Step 6: Final answer
    x = 8,986.95

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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.