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Finding the Fourth Proportional to 6,133.04, 8,463.72 and 3,776.24

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Solution

The fourth proportional to 6,133.04, 8,463.72 and 3,776.24 is: 5,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.04 : 8,463.72 = 3,776.24 : x
  2. Step 2: Convert to fraction form
    6,133.04/8,463.72 = 3,776.24/x
  3. Step 3: Cross multiply
    6,133.04x = 8,463.72 × 3,776.24
  4. Step 4: Simplify right side
    6,133.04x = 31,961,038.01
  5. Step 5: Solve for x
    x = 31,961,038.01/6,133.04
  6. Step 6: Final answer
    x = 5,211.29

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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.