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Finding the Fourth Proportional to 10,617, 15,941.94 and 5,696.25

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Solution

The fourth proportional to 10,617, 15,941.94 and 5,696.25 is: 8,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617 : 15,941.94 = 5,696.25 : x
  2. Step 2: Convert to fraction form
    10,617/15,941.94 = 5,696.25/x
  3. Step 3: Cross multiply
    10,617x = 15,941.94 × 5,696.25
  4. Step 4: Simplify right side
    10,617x = 90,809,275.73
  5. Step 5: Solve for x
    x = 90,809,275.73/10,617
  6. Step 6: Final answer
    x = 8,553.20

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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.