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Finding the Fourth Proportional to 7,783.71, 10,741.55 and 4,247.00

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Solution

The fourth proportional to 7,783.71, 10,741.55 and 4,247.00 is: 5,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.71 : 10,741.55 = 4,247.00 : x
  2. Step 2: Convert to fraction form
    7,783.71/10,741.55 = 4,247.00/x
  3. Step 3: Cross multiply
    7,783.71x = 10,741.55 × 4,247.00
  4. Step 4: Simplify right side
    7,783.71x = 45,619,287.91
  5. Step 5: Solve for x
    x = 45,619,287.91/7,783.71
  6. Step 6: Final answer
    x = 5,860.87

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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.