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Finding the Fourth Proportional to 8,306.93, 12,457.70 and 2,758.78

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Solution

The fourth proportional to 8,306.93, 12,457.70 and 2,758.78 is: 4,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.93 : 12,457.70 = 2,758.78 : x
  2. Step 2: Convert to fraction form
    8,306.93/12,457.70 = 2,758.78/x
  3. Step 3: Cross multiply
    8,306.93x = 12,457.70 × 2,758.78
  4. Step 4: Simplify right side
    8,306.93x = 34,368,061.35
  5. Step 5: Solve for x
    x = 34,368,061.35/8,306.93
  6. Step 6: Final answer
    x = 4,137.28

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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.