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Finding the Fourth Proportional to 7,357.64, 10,157.30 and 5,675.27

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Solution

The fourth proportional to 7,357.64, 10,157.30 and 5,675.27 is: 7,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.64 : 10,157.30 = 5,675.27 : x
  2. Step 2: Convert to fraction form
    7,357.64/10,157.30 = 5,675.27/x
  3. Step 3: Cross multiply
    7,357.64x = 10,157.30 × 5,675.27
  4. Step 4: Simplify right side
    7,357.64x = 57,645,362.09
  5. Step 5: Solve for x
    x = 57,645,362.09/7,357.64
  6. Step 6: Final answer
    x = 7,834.77

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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.