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Finding the Fourth Proportional to 7,783.79, 10,747.89 and 6,012.32

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Solution

The fourth proportional to 7,783.79, 10,747.89 and 6,012.32 is: 8,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.79 : 10,747.89 = 6,012.32 : x
  2. Step 2: Convert to fraction form
    7,783.79/10,747.89 = 6,012.32/x
  3. Step 3: Cross multiply
    7,783.79x = 10,747.89 × 6,012.32
  4. Step 4: Simplify right side
    7,783.79x = 64,619,700.27
  5. Step 5: Solve for x
    x = 64,619,700.27/7,783.79
  6. Step 6: Final answer
    x = 8,301.84

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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.