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Finding the Fourth Proportional to 7,778.79, 10,734.71 and 4,242.01

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Solution

The fourth proportional to 7,778.79, 10,734.71 and 4,242.01 is: 5,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.79 : 10,734.71 = 4,242.01 : x
  2. Step 2: Convert to fraction form
    7,778.79/10,734.71 = 4,242.01/x
  3. Step 3: Cross multiply
    7,778.79x = 10,734.71 × 4,242.01
  4. Step 4: Simplify right side
    7,778.79x = 45,536,709.40
  5. Step 5: Solve for x
    x = 45,536,709.40/7,778.79
  6. Step 6: Final answer
    x = 5,853.96

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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.