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Finding the Fourth Proportional to 8,564.49, 12,828.29 and 4,172.73

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Solution

The fourth proportional to 8,564.49, 12,828.29 and 4,172.73 is: 6,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.49 : 12,828.29 = 4,172.73 : x
  2. Step 2: Convert to fraction form
    8,564.49/12,828.29 = 4,172.73/x
  3. Step 3: Cross multiply
    8,564.49x = 12,828.29 × 4,172.73
  4. Step 4: Simplify right side
    8,564.49x = 53,528,969.67
  5. Step 5: Solve for x
    x = 53,528,969.67/8,564.49
  6. Step 6: Final answer
    x = 6,250.11

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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.