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Finding the Fourth Proportional to 7,675.68, 10,589.76 and 4,530.72

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Solution

The fourth proportional to 7,675.68, 10,589.76 and 4,530.72 is: 6,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.68 : 10,589.76 = 4,530.72 : x
  2. Step 2: Convert to fraction form
    7,675.68/10,589.76 = 4,530.72/x
  3. Step 3: Cross multiply
    7,675.68x = 10,589.76 × 4,530.72
  4. Step 4: Simplify right side
    7,675.68x = 47,979,237.43
  5. Step 5: Solve for x
    x = 47,979,237.43/7,675.68
  6. Step 6: Final answer
    x = 6,250.81

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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.