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Finding the Fourth Proportional to 8,654.40, 11,946.24 and 5,783.76

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Solution

The fourth proportional to 8,654.40, 11,946.24 and 5,783.76 is: 7,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.40 : 11,946.24 = 5,783.76 : x
  2. Step 2: Convert to fraction form
    8,654.40/11,946.24 = 5,783.76/x
  3. Step 3: Cross multiply
    8,654.40x = 11,946.24 × 5,783.76
  4. Step 4: Simplify right side
    8,654.40x = 69,094,185.06
  5. Step 5: Solve for x
    x = 69,094,185.06/8,654.40
  6. Step 6: Final answer
    x = 7,983.71

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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.