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Finding the Fourth Proportional to 7,591, 10,475.84 and 4,447.40

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Solution

The fourth proportional to 7,591, 10,475.84 and 4,447.40 is: 6,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591 : 10,475.84 = 4,447.40 : x
  2. Step 2: Convert to fraction form
    7,591/10,475.84 = 4,447.40/x
  3. Step 3: Cross multiply
    7,591x = 10,475.84 × 4,447.40
  4. Step 4: Simplify right side
    7,591x = 46,590,250.82
  5. Step 5: Solve for x
    x = 46,590,250.82/7,591
  6. Step 6: Final answer
    x = 6,137.56

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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.