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Finding the Fourth Proportional to 7,768.56, 11,648.64 and 4,061.88

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Solution

The fourth proportional to 7,768.56, 11,648.64 and 4,061.88 is: 6,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.56 : 11,648.64 = 4,061.88 : x
  2. Step 2: Convert to fraction form
    7,768.56/11,648.64 = 4,061.88/x
  3. Step 3: Cross multiply
    7,768.56x = 11,648.64 × 4,061.88
  4. Step 4: Simplify right side
    7,768.56x = 47,315,377.84
  5. Step 5: Solve for x
    x = 47,315,377.84/7,768.56
  6. Step 6: Final answer
    x = 6,090.62

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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.