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Finding the Fourth Proportional to 7,846.97, 10,830.68 and 4,491.72

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Solution

The fourth proportional to 7,846.97, 10,830.68 and 4,491.72 is: 6,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.97 : 10,830.68 = 4,491.72 : x
  2. Step 2: Convert to fraction form
    7,846.97/10,830.68 = 4,491.72/x
  3. Step 3: Cross multiply
    7,846.97x = 10,830.68 × 4,491.72
  4. Step 4: Simplify right side
    7,846.97x = 48,648,305.36
  5. Step 5: Solve for x
    x = 48,648,305.36/7,846.97
  6. Step 6: Final answer
    x = 6,199.63

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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.