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Finding the Fourth Proportional to 7,848.41, 10,830.98 and 4,491.53

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Solution

The fourth proportional to 7,848.41, 10,830.98 and 4,491.53 is: 6,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.41 : 10,830.98 = 4,491.53 : x
  2. Step 2: Convert to fraction form
    7,848.41/10,830.98 = 4,491.53/x
  3. Step 3: Cross multiply
    7,848.41x = 10,830.98 × 4,491.53
  4. Step 4: Simplify right side
    7,848.41x = 48,647,709.91
  5. Step 5: Solve for x
    x = 48,647,709.91/7,848.41
  6. Step 6: Final answer
    x = 6,198.42

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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.