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Finding the Fourth Proportional to 7,778.81, 10,734.77 and 4,242.04

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Solution

The fourth proportional to 7,778.81, 10,734.77 and 4,242.04 is: 5,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.81 : 10,734.77 = 4,242.04 : x
  2. Step 2: Convert to fraction form
    7,778.81/10,734.77 = 4,242.04/x
  3. Step 3: Cross multiply
    7,778.81x = 10,734.77 × 4,242.04
  4. Step 4: Simplify right side
    7,778.81x = 45,537,323.73
  5. Step 5: Solve for x
    x = 45,537,323.73/7,778.81
  6. Step 6: Final answer
    x = 5,854.02

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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.