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Finding the Fourth Proportional to 8,577.34, 12,864.48 and 4,626.76

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Solution

The fourth proportional to 8,577.34, 12,864.48 and 4,626.76 is: 6,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.34 : 12,864.48 = 4,626.76 : x
  2. Step 2: Convert to fraction form
    8,577.34/12,864.48 = 4,626.76/x
  3. Step 3: Cross multiply
    8,577.34x = 12,864.48 × 4,626.76
  4. Step 4: Simplify right side
    8,577.34x = 59,520,861.48
  5. Step 5: Solve for x
    x = 59,520,861.48/8,577.34
  6. Step 6: Final answer
    x = 6,939.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.