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Finding the Fourth Proportional to 7,478.64, 11,218.02 and 4,563.30

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Solution

The fourth proportional to 7,478.64, 11,218.02 and 4,563.30 is: 6,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.64 : 11,218.02 = 4,563.30 : x
  2. Step 2: Convert to fraction form
    7,478.64/11,218.02 = 4,563.30/x
  3. Step 3: Cross multiply
    7,478.64x = 11,218.02 × 4,563.30
  4. Step 4: Simplify right side
    7,478.64x = 51,191,190.67
  5. Step 5: Solve for x
    x = 51,191,190.67/7,478.64
  6. Step 6: Final answer
    x = 6,844.99

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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.