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Finding the Fourth Proportional to 7,812.54, 10,784.61 and 7,601.94

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Solution

The fourth proportional to 7,812.54, 10,784.61 and 7,601.94 is: 10,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.54 : 10,784.61 = 7,601.94 : x
  2. Step 2: Convert to fraction form
    7,812.54/10,784.61 = 7,601.94/x
  3. Step 3: Cross multiply
    7,812.54x = 10,784.61 × 7,601.94
  4. Step 4: Simplify right side
    7,812.54x = 81,983,958.14
  5. Step 5: Solve for x
    x = 81,983,958.14/7,812.54
  6. Step 6: Final answer
    x = 10,493.89

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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.