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Finding the Fourth Proportional to 7,099.22, 10,638.02 and 6,364.82

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Solution

The fourth proportional to 7,099.22, 10,638.02 and 6,364.82 is: 9,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.22 : 10,638.02 = 6,364.82 : x
  2. Step 2: Convert to fraction form
    7,099.22/10,638.02 = 6,364.82/x
  3. Step 3: Cross multiply
    7,099.22x = 10,638.02 × 6,364.82
  4. Step 4: Simplify right side
    7,099.22x = 67,709,045.18
  5. Step 5: Solve for x
    x = 67,709,045.18/7,099.22
  6. Step 6: Final answer
    x = 9,537.54

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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.