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Finding the Fourth Proportional to 8,573.64, 12,862.77 and 3,574.35

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Solution

The fourth proportional to 8,573.64, 12,862.77 and 3,574.35 is: 5,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.64 : 12,862.77 = 3,574.35 : x
  2. Step 2: Convert to fraction form
    8,573.64/12,862.77 = 3,574.35/x
  3. Step 3: Cross multiply
    8,573.64x = 12,862.77 × 3,574.35
  4. Step 4: Simplify right side
    8,573.64x = 45,976,108.45
  5. Step 5: Solve for x
    x = 45,976,108.45/8,573.64
  6. Step 6: Final answer
    x = 5,362.49

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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.