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Finding the Fourth Proportional to 8,588.39, 11,852.96 and 4,812.57

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Solution

The fourth proportional to 8,588.39, 11,852.96 and 4,812.57 is: 6,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.39 : 11,852.96 = 4,812.57 : x
  2. Step 2: Convert to fraction form
    8,588.39/11,852.96 = 4,812.57/x
  3. Step 3: Cross multiply
    8,588.39x = 11,852.96 × 4,812.57
  4. Step 4: Simplify right side
    8,588.39x = 57,043,199.71
  5. Step 5: Solve for x
    x = 57,043,199.71/8,588.39
  6. Step 6: Final answer
    x = 6,641.90

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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.