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Finding the Fourth Proportional to 7,768.72, 10,721.44 and 4,412.59

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Solution

The fourth proportional to 7,768.72, 10,721.44 and 4,412.59 is: 6,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.72 : 10,721.44 = 4,412.59 : x
  2. Step 2: Convert to fraction form
    7,768.72/10,721.44 = 4,412.59/x
  3. Step 3: Cross multiply
    7,768.72x = 10,721.44 × 4,412.59
  4. Step 4: Simplify right side
    7,768.72x = 47,309,292.13
  5. Step 5: Solve for x
    x = 47,309,292.13/7,768.72
  6. Step 6: Final answer
    x = 6,089.72

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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.