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Finding the Fourth Proportional to 7,776.16, 11,665.23 and 2,848.12

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Solution

The fourth proportional to 7,776.16, 11,665.23 and 2,848.12 is: 4,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.16 : 11,665.23 = 2,848.12 : x
  2. Step 2: Convert to fraction form
    7,776.16/11,665.23 = 2,848.12/x
  3. Step 3: Cross multiply
    7,776.16x = 11,665.23 × 2,848.12
  4. Step 4: Simplify right side
    7,776.16x = 33,223,974.87
  5. Step 5: Solve for x
    x = 33,223,974.87/7,776.16
  6. Step 6: Final answer
    x = 4,272.54

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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.