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Finding the Fourth Proportional to 7,348, 10,140.25 and 3,990.77

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Solution

The fourth proportional to 7,348, 10,140.25 and 3,990.77 is: 5,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348 : 10,140.25 = 3,990.77 : x
  2. Step 2: Convert to fraction form
    7,348/10,140.25 = 3,990.77/x
  3. Step 3: Cross multiply
    7,348x = 10,140.25 × 3,990.77
  4. Step 4: Simplify right side
    7,348x = 40,467,405.49
  5. Step 5: Solve for x
    x = 40,467,405.49/7,348
  6. Step 6: Final answer
    x = 5,507.27

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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.