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Finding the Fourth Proportional to 7,801.76, 11,701.56 and 3,418.04

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Solution

The fourth proportional to 7,801.76, 11,701.56 and 3,418.04 is: 5,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.76 : 11,701.56 = 3,418.04 : x
  2. Step 2: Convert to fraction form
    7,801.76/11,701.56 = 3,418.04/x
  3. Step 3: Cross multiply
    7,801.76x = 11,701.56 × 3,418.04
  4. Step 4: Simplify right side
    7,801.76x = 39,996,400.14
  5. Step 5: Solve for x
    x = 39,996,400.14/7,801.76
  6. Step 6: Final answer
    x = 5,126.59

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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.