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Finding the Fourth Proportional to 7,546.68, 11,320.02 and 4,262.54

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Solution

The fourth proportional to 7,546.68, 11,320.02 and 4,262.54 is: 6,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.68 : 11,320.02 = 4,262.54 : x
  2. Step 2: Convert to fraction form
    7,546.68/11,320.02 = 4,262.54/x
  3. Step 3: Cross multiply
    7,546.68x = 11,320.02 × 4,262.54
  4. Step 4: Simplify right side
    7,546.68x = 48,251,981.45
  5. Step 5: Solve for x
    x = 48,251,981.45/7,546.68
  6. Step 6: Final answer
    x = 6,393.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.