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Finding the Fourth Proportional to 6,859.70, 10,289.55 and 2,242.70

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Solution

The fourth proportional to 6,859.70, 10,289.55 and 2,242.70 is: 3,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.70 : 10,289.55 = 2,242.70 : x
  2. Step 2: Convert to fraction form
    6,859.70/10,289.55 = 2,242.70/x
  3. Step 3: Cross multiply
    6,859.70x = 10,289.55 × 2,242.70
  4. Step 4: Simplify right side
    6,859.70x = 23,076,373.79
  5. Step 5: Solve for x
    x = 23,076,373.79/6,859.70
  6. Step 6: Final answer
    x = 3,364.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.