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Finding the Fourth Proportional to 8,307.14, 12,457.74 and 2,758.99

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Solution

The fourth proportional to 8,307.14, 12,457.74 and 2,758.99 is: 4,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.14 : 12,457.74 = 2,758.99 : x
  2. Step 2: Convert to fraction form
    8,307.14/12,457.74 = 2,758.99/x
  3. Step 3: Cross multiply
    8,307.14x = 12,457.74 × 2,758.99
  4. Step 4: Simplify right side
    8,307.14x = 34,370,717.79
  5. Step 5: Solve for x
    x = 34,370,717.79/8,307.14
  6. Step 6: Final answer
    x = 4,137.49

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Why These Related Problems?

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