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Finding the Fourth Proportional to 4,767.82, 7,116.65 and 4,433.56

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Solution

The fourth proportional to 4,767.82, 7,116.65 and 4,433.56 is: 6,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.82 : 7,116.65 = 4,433.56 : x
  2. Step 2: Convert to fraction form
    4,767.82/7,116.65 = 4,433.56/x
  3. Step 3: Cross multiply
    4,767.82x = 7,116.65 × 4,433.56
  4. Step 4: Simplify right side
    4,767.82x = 31,552,096.38
  5. Step 5: Solve for x
    x = 31,552,096.38/4,767.82
  6. Step 6: Final answer
    x = 6,617.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.