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Finding the Fourth Proportional to 11,715.10, 17,572.95 and 3,817.63

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Solution

The fourth proportional to 11,715.10, 17,572.95 and 3,817.63 is: 5,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.10 : 17,572.95 = 3,817.63 : x
  2. Step 2: Convert to fraction form
    11,715.10/17,572.95 = 3,817.63/x
  3. Step 3: Cross multiply
    11,715.10x = 17,572.95 × 3,817.63
  4. Step 4: Simplify right side
    11,715.10x = 67,087,043.07
  5. Step 5: Solve for x
    x = 67,087,043.07/11,715.10
  6. Step 6: Final answer
    x = 5,726.55

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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.