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Finding the Fourth Proportional to 7,678.72, 11,503.31 and 4,708.49

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Solution

The fourth proportional to 7,678.72, 11,503.31 and 4,708.49 is: 7,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.72 : 11,503.31 = 4,708.49 : x
  2. Step 2: Convert to fraction form
    7,678.72/11,503.31 = 4,708.49/x
  3. Step 3: Cross multiply
    7,678.72x = 11,503.31 × 4,708.49
  4. Step 4: Simplify right side
    7,678.72x = 54,163,237.30
  5. Step 5: Solve for x
    x = 54,163,237.30/7,678.72
  6. Step 6: Final answer
    x = 7,053.68

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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.