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Finding the Fourth Proportional to 7,738.92, 10,678.68 and 4,594.50

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Solution

The fourth proportional to 7,738.92, 10,678.68 and 4,594.50 is: 6,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.92 : 10,678.68 = 4,594.50 : x
  2. Step 2: Convert to fraction form
    7,738.92/10,678.68 = 4,594.50/x
  3. Step 3: Cross multiply
    7,738.92x = 10,678.68 × 4,594.50
  4. Step 4: Simplify right side
    7,738.92x = 49,063,195.26
  5. Step 5: Solve for x
    x = 49,063,195.26/7,738.92
  6. Step 6: Final answer
    x = 6,339.80

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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.