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Finding the Fourth Proportional to 11,497, 15,868.06 and 7,511.24

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Solution

The fourth proportional to 11,497, 15,868.06 and 7,511.24 is: 10,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497 : 15,868.06 = 7,511.24 : x
  2. Step 2: Convert to fraction form
    11,497/15,868.06 = 7,511.24/x
  3. Step 3: Cross multiply
    11,497x = 15,868.06 × 7,511.24
  4. Step 4: Simplify right side
    11,497x = 119,188,806.99
  5. Step 5: Solve for x
    x = 119,188,806.99/11,497
  6. Step 6: Final answer
    x = 10,366.95

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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.