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Finding the Fourth Proportional to 7,776.90, 11,665.35 and 4,265.55

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Solution

The fourth proportional to 7,776.90, 11,665.35 and 4,265.55 is: 6,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.90 : 11,665.35 = 4,265.55 : x
  2. Step 2: Convert to fraction form
    7,776.90/11,665.35 = 4,265.55/x
  3. Step 3: Cross multiply
    7,776.90x = 11,665.35 × 4,265.55
  4. Step 4: Simplify right side
    7,776.90x = 49,759,133.69
  5. Step 5: Solve for x
    x = 49,759,133.69/7,776.90
  6. Step 6: Final answer
    x = 6,398.33

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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.