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Finding the Fourth Proportional to 8,381.76, 11,577.06 and 6,266.67

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Solution

The fourth proportional to 8,381.76, 11,577.06 and 6,266.67 is: 8,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.76 : 11,577.06 = 6,266.67 : x
  2. Step 2: Convert to fraction form
    8,381.76/11,577.06 = 6,266.67/x
  3. Step 3: Cross multiply
    8,381.76x = 11,577.06 × 6,266.67
  4. Step 4: Simplify right side
    8,381.76x = 72,549,614.59
  5. Step 5: Solve for x
    x = 72,549,614.59/8,381.76
  6. Step 6: Final answer
    x = 8,655.65

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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.