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Finding the Fourth Proportional to 7,654.07, 10,564.07 and 4,996.86

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Solution

The fourth proportional to 7,654.07, 10,564.07 and 4,996.86 is: 6,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.07 : 10,564.07 = 4,996.86 : x
  2. Step 2: Convert to fraction form
    7,654.07/10,564.07 = 4,996.86/x
  3. Step 3: Cross multiply
    7,654.07x = 10,564.07 × 4,996.86
  4. Step 4: Simplify right side
    7,654.07x = 52,787,153.84
  5. Step 5: Solve for x
    x = 52,787,153.84/7,654.07
  6. Step 6: Final answer
    x = 6,896.62

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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.