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Finding the Fourth Proportional to 7,664.83, 10,578 and 4,522.84

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Solution

The fourth proportional to 7,664.83, 10,578 and 4,522.84 is: 6,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.83 : 10,578 = 4,522.84 : x
  2. Step 2: Convert to fraction form
    7,664.83/10,578 = 4,522.84/x
  3. Step 3: Cross multiply
    7,664.83x = 10,578 × 4,522.84
  4. Step 4: Simplify right side
    7,664.83x = 47,842,601.52
  5. Step 5: Solve for x
    x = 47,842,601.52/7,664.83
  6. Step 6: Final answer
    x = 6,241.83

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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.