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Finding the Fourth Proportional to 7,738.48, 10,678.80 and 4,381.48

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Solution

The fourth proportional to 7,738.48, 10,678.80 and 4,381.48 is: 6,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.48 : 10,678.80 = 4,381.48 : x
  2. Step 2: Convert to fraction form
    7,738.48/10,678.80 = 4,381.48/x
  3. Step 3: Cross multiply
    7,738.48x = 10,678.80 × 4,381.48
  4. Step 4: Simplify right side
    7,738.48x = 46,788,948.62
  5. Step 5: Solve for x
    x = 46,788,948.62/7,738.48
  6. Step 6: Final answer
    x = 6,046.27

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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.