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Finding the Fourth Proportional to 8,264.76, 12,381.51 and 6,406.77

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Solution

The fourth proportional to 8,264.76, 12,381.51 and 6,406.77 is: 9,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.76 : 12,381.51 = 6,406.77 : x
  2. Step 2: Convert to fraction form
    8,264.76/12,381.51 = 6,406.77/x
  3. Step 3: Cross multiply
    8,264.76x = 12,381.51 × 6,406.77
  4. Step 4: Simplify right side
    8,264.76x = 79,325,486.42
  5. Step 5: Solve for x
    x = 79,325,486.42/8,264.76
  6. Step 6: Final answer
    x = 9,598.04

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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.