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Finding the Fourth Proportional to 7,800.64, 11,706 and 3,184

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Solution

The fourth proportional to 7,800.64, 11,706 and 3,184 is: 4,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.64 : 11,706 = 3,184 : x
  2. Step 2: Convert to fraction form
    7,800.64/11,706 = 3,184/x
  3. Step 3: Cross multiply
    7,800.64x = 11,706 × 3,184
  4. Step 4: Simplify right side
    7,800.64x = 37,271,904
  5. Step 5: Solve for x
    x = 37,271,904/7,800.64
  6. Step 6: Final answer
    x = 4,778.06

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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.