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Finding the Fourth Proportional to 7,358.64, 10,158.68 and 5,676.27

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Solution

The fourth proportional to 7,358.64, 10,158.68 and 5,676.27 is: 7,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.64 : 10,158.68 = 5,676.27 : x
  2. Step 2: Convert to fraction form
    7,358.64/10,158.68 = 5,676.27/x
  3. Step 3: Cross multiply
    7,358.64x = 10,158.68 × 5,676.27
  4. Step 4: Simplify right side
    7,358.64x = 57,663,410.52
  5. Step 5: Solve for x
    x = 57,663,410.52/7,358.64
  6. Step 6: Final answer
    x = 7,836.15

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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.