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Finding the Fourth Proportional to 10,622.38, 15,941.76 and 5,696.14

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Solution

The fourth proportional to 10,622.38, 15,941.76 and 5,696.14 is: 8,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.38 : 15,941.76 = 5,696.14 : x
  2. Step 2: Convert to fraction form
    10,622.38/15,941.76 = 5,696.14/x
  3. Step 3: Cross multiply
    10,622.38x = 15,941.76 × 5,696.14
  4. Step 4: Simplify right side
    10,622.38x = 90,806,496.81
  5. Step 5: Solve for x
    x = 90,806,496.81/10,622.38
  6. Step 6: Final answer
    x = 8,548.60

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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.