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Finding the Fourth Proportional to 7,530.85, 10,392.84 and 4,546.10

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Solution

The fourth proportional to 7,530.85, 10,392.84 and 4,546.10 is: 6,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.85 : 10,392.84 = 4,546.10 : x
  2. Step 2: Convert to fraction form
    7,530.85/10,392.84 = 4,546.10/x
  3. Step 3: Cross multiply
    7,530.85x = 10,392.84 × 4,546.10
  4. Step 4: Simplify right side
    7,530.85x = 47,246,859.89
  5. Step 5: Solve for x
    x = 47,246,859.89/7,530.85
  6. Step 6: Final answer
    x = 6,273.78

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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.