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Finding the Fourth Proportional to 8,849, 13,264.58 and 5,564.44

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Solution

The fourth proportional to 8,849, 13,264.58 and 5,564.44 is: 8,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849 : 13,264.58 = 5,564.44 : x
  2. Step 2: Convert to fraction form
    8,849/13,264.58 = 5,564.44/x
  3. Step 3: Cross multiply
    8,849x = 13,264.58 × 5,564.44
  4. Step 4: Simplify right side
    8,849x = 73,809,959.54
  5. Step 5: Solve for x
    x = 73,809,959.54/8,849
  6. Step 6: Final answer
    x = 8,341.05

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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.