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Finding the Fourth Proportional to 7,303, 10,078.16 and 3,991

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Solution

The fourth proportional to 7,303, 10,078.16 and 3,991 is: 5,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303 : 10,078.16 = 3,991 : x
  2. Step 2: Convert to fraction form
    7,303/10,078.16 = 3,991/x
  3. Step 3: Cross multiply
    7,303x = 10,078.16 × 3,991
  4. Step 4: Simplify right side
    7,303x = 40,221,936.56
  5. Step 5: Solve for x
    x = 40,221,936.56/7,303
  6. Step 6: Final answer
    x = 5,507.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.