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Finding the Fourth Proportional to 7,354, 10,148.68 and 4,042

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Solution

The fourth proportional to 7,354, 10,148.68 and 4,042 is: 5,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354 : 10,148.68 = 4,042 : x
  2. Step 2: Convert to fraction form
    7,354/10,148.68 = 4,042/x
  3. Step 3: Cross multiply
    7,354x = 10,148.68 × 4,042
  4. Step 4: Simplify right side
    7,354x = 41,020,964.56
  5. Step 5: Solve for x
    x = 41,020,964.56/7,354
  6. Step 6: Final answer
    x = 5,578.05

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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.