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Finding the Fourth Proportional to 7,287.70, 10,052.49 and 4,768.60

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Solution

The fourth proportional to 7,287.70, 10,052.49 and 4,768.60 is: 6,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.70 : 10,052.49 = 4,768.60 : x
  2. Step 2: Convert to fraction form
    7,287.70/10,052.49 = 4,768.60/x
  3. Step 3: Cross multiply
    7,287.70x = 10,052.49 × 4,768.60
  4. Step 4: Simplify right side
    7,287.70x = 47,936,303.81
  5. Step 5: Solve for x
    x = 47,936,303.81/7,287.70
  6. Step 6: Final answer
    x = 6,577.70

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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.