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Finding the Fourth Proportional to 7,778.89, 10,734.82 and 4,242.03

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Solution

The fourth proportional to 7,778.89, 10,734.82 and 4,242.03 is: 5,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.89 : 10,734.82 = 4,242.03 : x
  2. Step 2: Convert to fraction form
    7,778.89/10,734.82 = 4,242.03/x
  3. Step 3: Cross multiply
    7,778.89x = 10,734.82 × 4,242.03
  4. Step 4: Simplify right side
    7,778.89x = 45,537,428.48
  5. Step 5: Solve for x
    x = 45,537,428.48/7,778.89
  6. Step 6: Final answer
    x = 5,853.98

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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.