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Finding the Fourth Proportional to 8,585.40, 11,847.02 and 4,859.32

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Solution

The fourth proportional to 8,585.40, 11,847.02 and 4,859.32 is: 6,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.40 : 11,847.02 = 4,859.32 : x
  2. Step 2: Convert to fraction form
    8,585.40/11,847.02 = 4,859.32/x
  3. Step 3: Cross multiply
    8,585.40x = 11,847.02 × 4,859.32
  4. Step 4: Simplify right side
    8,585.40x = 57,568,461.23
  5. Step 5: Solve for x
    x = 57,568,461.23/8,585.40
  6. Step 6: Final answer
    x = 6,705.39

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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.