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Finding the Fourth Proportional to 7,735.77, 11,622.08 and 4,967.80

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Solution

The fourth proportional to 7,735.77, 11,622.08 and 4,967.80 is: 7,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.77 : 11,622.08 = 4,967.80 : x
  2. Step 2: Convert to fraction form
    7,735.77/11,622.08 = 4,967.80/x
  3. Step 3: Cross multiply
    7,735.77x = 11,622.08 × 4,967.80
  4. Step 4: Simplify right side
    7,735.77x = 57,736,152.39
  5. Step 5: Solve for x
    x = 57,736,152.39/7,735.77
  6. Step 6: Final answer
    x = 7,463.53

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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.