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Finding the Fourth Proportional to 7,384.90, 10,192.12 and 4,241.10

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Solution

The fourth proportional to 7,384.90, 10,192.12 and 4,241.10 is: 5,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.90 : 10,192.12 = 4,241.10 : x
  2. Step 2: Convert to fraction form
    7,384.90/10,192.12 = 4,241.10/x
  3. Step 3: Cross multiply
    7,384.90x = 10,192.12 × 4,241.10
  4. Step 4: Simplify right side
    7,384.90x = 43,225,800.13
  5. Step 5: Solve for x
    x = 43,225,800.13/7,384.90
  6. Step 6: Final answer
    x = 5,853.27

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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.