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Finding the Fourth Proportional to 6,212.40, 8,567.64 and 4,871.76

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Solution

The fourth proportional to 6,212.40, 8,567.64 and 4,871.76 is: 6,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.40 : 8,567.64 = 4,871.76 : x
  2. Step 2: Convert to fraction form
    6,212.40/8,567.64 = 4,871.76/x
  3. Step 3: Cross multiply
    6,212.40x = 8,567.64 × 4,871.76
  4. Step 4: Simplify right side
    6,212.40x = 41,739,485.85
  5. Step 5: Solve for x
    x = 41,739,485.85/6,212.40
  6. Step 6: Final answer
    x = 6,718.74

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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.