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Finding the Fourth Proportional to 10,082.64, 13,913.76 and 5,606.07

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Solution

The fourth proportional to 10,082.64, 13,913.76 and 5,606.07 is: 7,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.64 : 13,913.76 = 5,606.07 : x
  2. Step 2: Convert to fraction form
    10,082.64/13,913.76 = 5,606.07/x
  3. Step 3: Cross multiply
    10,082.64x = 13,913.76 × 5,606.07
  4. Step 4: Simplify right side
    10,082.64x = 78,001,512.52
  5. Step 5: Solve for x
    x = 78,001,512.52/10,082.64
  6. Step 6: Final answer
    x = 7,736.22

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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.