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Finding the Fourth Proportional to 4,775.16, 7,163 and 1,488.16

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Solution

The fourth proportional to 4,775.16, 7,163 and 1,488.16 is: 2,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.16 : 7,163 = 1,488.16 : x
  2. Step 2: Convert to fraction form
    4,775.16/7,163 = 1,488.16/x
  3. Step 3: Cross multiply
    4,775.16x = 7,163 × 1,488.16
  4. Step 4: Simplify right side
    4,775.16x = 10,659,690.08
  5. Step 5: Solve for x
    x = 10,659,690.08/4,775.16
  6. Step 6: Final answer
    x = 2,232.32

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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.