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Finding the Fourth Proportional to 11,497.13, 17,246.10 and 4,477.67

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Solution

The fourth proportional to 11,497.13, 17,246.10 and 4,477.67 is: 6,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.13 : 17,246.10 = 4,477.67 : x
  2. Step 2: Convert to fraction form
    11,497.13/17,246.10 = 4,477.67/x
  3. Step 3: Cross multiply
    11,497.13x = 17,246.10 × 4,477.67
  4. Step 4: Simplify right side
    11,497.13x = 77,222,344.59
  5. Step 5: Solve for x
    x = 77,222,344.59/11,497.13
  6. Step 6: Final answer
    x = 6,716.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.