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Finding the Fourth Proportional to 7,328.80, 10,105.68 and 4,672

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Solution

The fourth proportional to 7,328.80, 10,105.68 and 4,672 is: 6,442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.80 : 10,105.68 = 4,672 : x
  2. Step 2: Convert to fraction form
    7,328.80/10,105.68 = 4,672/x
  3. Step 3: Cross multiply
    7,328.80x = 10,105.68 × 4,672
  4. Step 4: Simplify right side
    7,328.80x = 47,213,736.96
  5. Step 5: Solve for x
    x = 47,213,736.96/7,328.80
  6. Step 6: Final answer
    x = 6,442.22

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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.