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Finding the Fourth Proportional to 8,574.32, 12,866.28 and 4,682.96

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Solution

The fourth proportional to 8,574.32, 12,866.28 and 4,682.96 is: 7,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.32 : 12,866.28 = 4,682.96 : x
  2. Step 2: Convert to fraction form
    8,574.32/12,866.28 = 4,682.96/x
  3. Step 3: Cross multiply
    8,574.32x = 12,866.28 × 4,682.96
  4. Step 4: Simplify right side
    8,574.32x = 60,252,274.59
  5. Step 5: Solve for x
    x = 60,252,274.59/8,574.32
  6. Step 6: Final answer
    x = 7,027.06

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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.