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Finding the Fourth Proportional to 8,746.38, 13,119.84 and 2,506.95

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Solution

The fourth proportional to 8,746.38, 13,119.84 and 2,506.95 is: 3,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,746.38 : 13,119.84 = 2,506.95 : x
  2. Step 2: Convert to fraction form
    8,746.38/13,119.84 = 2,506.95/x
  3. Step 3: Cross multiply
    8,746.38x = 13,119.84 × 2,506.95
  4. Step 4: Simplify right side
    8,746.38x = 32,890,782.89
  5. Step 5: Solve for x
    x = 32,890,782.89/8,746.38
  6. Step 6: Final answer
    x = 3,760.50

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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.