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Finding the Fourth Proportional to 7,783.72, 10,739.18 and 4,426.06

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Solution

The fourth proportional to 7,783.72, 10,739.18 and 4,426.06 is: 6,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.72 : 10,739.18 = 4,426.06 : x
  2. Step 2: Convert to fraction form
    7,783.72/10,739.18 = 4,426.06/x
  3. Step 3: Cross multiply
    7,783.72x = 10,739.18 × 4,426.06
  4. Step 4: Simplify right side
    7,783.72x = 47,532,255.03
  5. Step 5: Solve for x
    x = 47,532,255.03/7,783.72
  6. Step 6: Final answer
    x = 6,106.62

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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.