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Finding the Fourth Proportional to 8,588.58, 11,852.02 and 5,052

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Solution

The fourth proportional to 8,588.58, 11,852.02 and 5,052 is: 6,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.58 : 11,852.02 = 5,052 : x
  2. Step 2: Convert to fraction form
    8,588.58/11,852.02 = 5,052/x
  3. Step 3: Cross multiply
    8,588.58x = 11,852.02 × 5,052
  4. Step 4: Simplify right side
    8,588.58x = 59,876,405.04
  5. Step 5: Solve for x
    x = 59,876,405.04/8,588.58
  6. Step 6: Final answer
    x = 6,971.63

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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.