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Finding the Fourth Proportional to 7,013.76, 10,506.51 and 3,260.22

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Solution

The fourth proportional to 7,013.76, 10,506.51 and 3,260.22 is: 4,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.76 : 10,506.51 = 3,260.22 : x
  2. Step 2: Convert to fraction form
    7,013.76/10,506.51 = 3,260.22/x
  3. Step 3: Cross multiply
    7,013.76x = 10,506.51 × 3,260.22
  4. Step 4: Simplify right side
    7,013.76x = 34,253,534.03
  5. Step 5: Solve for x
    x = 34,253,534.03/7,013.76
  6. Step 6: Final answer
    x = 4,883.76

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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.