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Finding the Fourth Proportional to 6,478.62, 8,901.76 and 5,150.02

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Solution

The fourth proportional to 6,478.62, 8,901.76 and 5,150.02 is: 7,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.62 : 8,901.76 = 5,150.02 : x
  2. Step 2: Convert to fraction form
    6,478.62/8,901.76 = 5,150.02/x
  3. Step 3: Cross multiply
    6,478.62x = 8,901.76 × 5,150.02
  4. Step 4: Simplify right side
    6,478.62x = 45,844,242.04
  5. Step 5: Solve for x
    x = 45,844,242.04/6,478.62
  6. Step 6: Final answer
    x = 7,076.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.