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Finding the Fourth Proportional to 4,776.72, 7,165.35 and 1,266.63

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Solution

The fourth proportional to 4,776.72, 7,165.35 and 1,266.63 is: 1,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.72 : 7,165.35 = 1,266.63 : x
  2. Step 2: Convert to fraction form
    4,776.72/7,165.35 = 1,266.63/x
  3. Step 3: Cross multiply
    4,776.72x = 7,165.35 × 1,266.63
  4. Step 4: Simplify right side
    4,776.72x = 9,075,847.27
  5. Step 5: Solve for x
    x = 9,075,847.27/4,776.72
  6. Step 6: Final answer
    x = 1,900.02

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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.