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Finding the Fourth Proportional to 7,124.48, 10,677.41 and 3,830.48

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Solution

The fourth proportional to 7,124.48, 10,677.41 and 3,830.48 is: 5,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.48 : 10,677.41 = 3,830.48 : x
  2. Step 2: Convert to fraction form
    7,124.48/10,677.41 = 3,830.48/x
  3. Step 3: Cross multiply
    7,124.48x = 10,677.41 × 3,830.48
  4. Step 4: Simplify right side
    7,124.48x = 40,899,627.36
  5. Step 5: Solve for x
    x = 40,899,627.36/7,124.48
  6. Step 6: Final answer
    x = 5,740.72

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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.