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Finding the Fourth Proportional to 11,506.76, 17,262.90 and 6,830.84

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Solution

The fourth proportional to 11,506.76, 17,262.90 and 6,830.84 is: 10,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.76 : 17,262.90 = 6,830.84 : x
  2. Step 2: Convert to fraction form
    11,506.76/17,262.90 = 6,830.84/x
  3. Step 3: Cross multiply
    11,506.76x = 17,262.90 × 6,830.84
  4. Step 4: Simplify right side
    11,506.76x = 117,920,107.84
  5. Step 5: Solve for x
    x = 117,920,107.84/11,506.76
  6. Step 6: Final answer
    x = 10,247.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.