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Finding the Fourth Proportional to 8,271.63, 11,415.36 and 4,734.76

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Solution

The fourth proportional to 8,271.63, 11,415.36 and 4,734.76 is: 6,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.63 : 11,415.36 = 4,734.76 : x
  2. Step 2: Convert to fraction form
    8,271.63/11,415.36 = 4,734.76/x
  3. Step 3: Cross multiply
    8,271.63x = 11,415.36 × 4,734.76
  4. Step 4: Simplify right side
    8,271.63x = 54,048,989.91
  5. Step 5: Solve for x
    x = 54,048,989.91/8,271.63
  6. Step 6: Final answer
    x = 6,534.26

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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.