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Finding the Fourth Proportional to 6,358.50, 8,777.16 and 4,263.84

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Solution

The fourth proportional to 6,358.50, 8,777.16 and 4,263.84 is: 5,885.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.50 : 8,777.16 = 4,263.84 : x
  2. Step 2: Convert to fraction form
    6,358.50/8,777.16 = 4,263.84/x
  3. Step 3: Cross multiply
    6,358.50x = 8,777.16 × 4,263.84
  4. Step 4: Simplify right side
    6,358.50x = 37,424,405.89
  5. Step 5: Solve for x
    x = 37,424,405.89/6,358.50
  6. Step 6: Final answer
    x = 5,885.73

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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.