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Finding the Fourth Proportional to 7,675.77, 10,590.57 and 4,690.56

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Solution

The fourth proportional to 7,675.77, 10,590.57 and 4,690.56 is: 6,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.77 : 10,590.57 = 4,690.56 : x
  2. Step 2: Convert to fraction form
    7,675.77/10,590.57 = 4,690.56/x
  3. Step 3: Cross multiply
    7,675.77x = 10,590.57 × 4,690.56
  4. Step 4: Simplify right side
    7,675.77x = 49,675,704.02
  5. Step 5: Solve for x
    x = 49,675,704.02/7,675.77
  6. Step 6: Final answer
    x = 6,471.76

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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.