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Finding the Fourth Proportional to 11,751.85, 16,216.52 and 6,715.07

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Solution

The fourth proportional to 11,751.85, 16,216.52 and 6,715.07 is: 9,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.85 : 16,216.52 = 6,715.07 : x
  2. Step 2: Convert to fraction form
    11,751.85/16,216.52 = 6,715.07/x
  3. Step 3: Cross multiply
    11,751.85x = 16,216.52 × 6,715.07
  4. Step 4: Simplify right side
    11,751.85x = 108,895,066.96
  5. Step 5: Solve for x
    x = 108,895,066.96/11,751.85
  6. Step 6: Final answer
    x = 9,266.21

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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.