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Finding the Fourth Proportional to 8,064.65, 12,024.83 and 7,941.63

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Solution

The fourth proportional to 8,064.65, 12,024.83 and 7,941.63 is: 11,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.65 : 12,024.83 = 7,941.63 : x
  2. Step 2: Convert to fraction form
    8,064.65/12,024.83 = 7,941.63/x
  3. Step 3: Cross multiply
    8,064.65x = 12,024.83 × 7,941.63
  4. Step 4: Simplify right side
    8,064.65x = 95,496,750.67
  5. Step 5: Solve for x
    x = 95,496,750.67/8,064.65
  6. Step 6: Final answer
    x = 11,841.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.