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Finding the Fourth Proportional to 7,735.50, 10,665.02 and 6,317.69

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Solution

The fourth proportional to 7,735.50, 10,665.02 and 6,317.69 is: 8,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.50 : 10,665.02 = 6,317.69 : x
  2. Step 2: Convert to fraction form
    7,735.50/10,665.02 = 6,317.69/x
  3. Step 3: Cross multiply
    7,735.50x = 10,665.02 × 6,317.69
  4. Step 4: Simplify right side
    7,735.50x = 67,378,252.67
  5. Step 5: Solve for x
    x = 67,378,252.67/7,735.50
  6. Step 6: Final answer
    x = 8,710.26

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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.