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Finding the Fourth Proportional to 7,884.54, 10,883.03 and 4,700.16

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Solution

The fourth proportional to 7,884.54, 10,883.03 and 4,700.16 is: 6,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.54 : 10,883.03 = 4,700.16 : x
  2. Step 2: Convert to fraction form
    7,884.54/10,883.03 = 4,700.16/x
  3. Step 3: Cross multiply
    7,884.54x = 10,883.03 × 4,700.16
  4. Step 4: Simplify right side
    7,884.54x = 51,151,958.78
  5. Step 5: Solve for x
    x = 51,151,958.78/7,884.54
  6. Step 6: Final answer
    x = 6,487.63

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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.