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Finding the Fourth Proportional to 7,812.89, 10,778.35 and 4,667.25

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Solution

The fourth proportional to 7,812.89, 10,778.35 and 4,667.25 is: 6,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.89 : 10,778.35 = 4,667.25 : x
  2. Step 2: Convert to fraction form
    7,812.89/10,778.35 = 4,667.25/x
  3. Step 3: Cross multiply
    7,812.89x = 10,778.35 × 4,667.25
  4. Step 4: Simplify right side
    7,812.89x = 50,305,254.04
  5. Step 5: Solve for x
    x = 50,305,254.04/7,812.89
  6. Step 6: Final answer
    x = 6,438.75

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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.