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Finding the Fourth Proportional to 8,594.52, 11,859.84 and 5,056.98

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Solution

The fourth proportional to 8,594.52, 11,859.84 and 5,056.98 is: 6,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.52 : 11,859.84 = 5,056.98 : x
  2. Step 2: Convert to fraction form
    8,594.52/11,859.84 = 5,056.98/x
  3. Step 3: Cross multiply
    8,594.52x = 11,859.84 × 5,056.98
  4. Step 4: Simplify right side
    8,594.52x = 59,974,973.68
  5. Step 5: Solve for x
    x = 59,974,973.68/8,594.52
  6. Step 6: Final answer
    x = 6,978.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.