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Finding the Fourth Proportional to 8,588.42, 11,852.98 and 4,812.20

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Solution

The fourth proportional to 8,588.42, 11,852.98 and 4,812.20 is: 6,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.42 : 11,852.98 = 4,812.20 : x
  2. Step 2: Convert to fraction form
    8,588.42/11,852.98 = 4,812.20/x
  3. Step 3: Cross multiply
    8,588.42x = 11,852.98 × 4,812.20
  4. Step 4: Simplify right side
    8,588.42x = 57,038,886.30
  5. Step 5: Solve for x
    x = 57,038,886.30/8,588.42
  6. Step 6: Final answer
    x = 6,641.37

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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.