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Finding the Fourth Proportional to 11,407.74, 17,112.69 and 3,617.70

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Solution

The fourth proportional to 11,407.74, 17,112.69 and 3,617.70 is: 5,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.74 : 17,112.69 = 3,617.70 : x
  2. Step 2: Convert to fraction form
    11,407.74/17,112.69 = 3,617.70/x
  3. Step 3: Cross multiply
    11,407.74x = 17,112.69 × 3,617.70
  4. Step 4: Simplify right side
    11,407.74x = 61,908,578.61
  5. Step 5: Solve for x
    x = 61,908,578.61/11,407.74
  6. Step 6: Final answer
    x = 5,426.89

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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.