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Finding the Fourth Proportional to 7,675.81, 10,592.51 and 4,491.30

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Solution

The fourth proportional to 7,675.81, 10,592.51 and 4,491.30 is: 6,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.81 : 10,592.51 = 4,491.30 : x
  2. Step 2: Convert to fraction form
    7,675.81/10,592.51 = 4,491.30/x
  3. Step 3: Cross multiply
    7,675.81x = 10,592.51 × 4,491.30
  4. Step 4: Simplify right side
    7,675.81x = 47,574,098.43
  5. Step 5: Solve for x
    x = 47,574,098.43/7,675.81
  6. Step 6: Final answer
    x = 6,197.93

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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.