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Finding the Fourth Proportional to 11,847.42, 16,348.32 and 7,068.84

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Solution

The fourth proportional to 11,847.42, 16,348.32 and 7,068.84 is: 9,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.42 : 16,348.32 = 7,068.84 : x
  2. Step 2: Convert to fraction form
    11,847.42/16,348.32 = 7,068.84/x
  3. Step 3: Cross multiply
    11,847.42x = 16,348.32 × 7,068.84
  4. Step 4: Simplify right side
    11,847.42x = 115,563,658.35
  5. Step 5: Solve for x
    x = 115,563,658.35/11,847.42
  6. Step 6: Final answer
    x = 9,754.33

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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.