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Finding the Fourth Proportional to 7,675.49, 10,588.72 and 4,690.76

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Solution

The fourth proportional to 7,675.49, 10,588.72 and 4,690.76 is: 6,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.49 : 10,588.72 = 4,690.76 : x
  2. Step 2: Convert to fraction form
    7,675.49/10,588.72 = 4,690.76/x
  3. Step 3: Cross multiply
    7,675.49x = 10,588.72 × 4,690.76
  4. Step 4: Simplify right side
    7,675.49x = 49,669,136.85
  5. Step 5: Solve for x
    x = 49,669,136.85/7,675.49
  6. Step 6: Final answer
    x = 6,471.14

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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.