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Finding the Fourth Proportional to 7,689.36, 10,602.36 and 5,383.92

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Solution

The fourth proportional to 7,689.36, 10,602.36 and 5,383.92 is: 7,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.36 : 10,602.36 = 5,383.92 : x
  2. Step 2: Convert to fraction form
    7,689.36/10,602.36 = 5,383.92/x
  3. Step 3: Cross multiply
    7,689.36x = 10,602.36 × 5,383.92
  4. Step 4: Simplify right side
    7,689.36x = 57,082,258.05
  5. Step 5: Solve for x
    x = 57,082,258.05/7,689.36
  6. Step 6: Final answer
    x = 7,423.54

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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.