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Finding the Fourth Proportional to 8,765.04, 13,147 and 3,570.78

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Solution

The fourth proportional to 8,765.04, 13,147 and 3,570.78 is: 5,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.04 : 13,147 = 3,570.78 : x
  2. Step 2: Convert to fraction form
    8,765.04/13,147 = 3,570.78/x
  3. Step 3: Cross multiply
    8,765.04x = 13,147 × 3,570.78
  4. Step 4: Simplify right side
    8,765.04x = 46,945,044.66
  5. Step 5: Solve for x
    x = 46,945,044.66/8,765.04
  6. Step 6: Final answer
    x = 5,355.94

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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.