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Finding the Fourth Proportional to 8,698.30, 13,024.26 and 5,930.40

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Solution

The fourth proportional to 8,698.30, 13,024.26 and 5,930.40 is: 8,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.30 : 13,024.26 = 5,930.40 : x
  2. Step 2: Convert to fraction form
    8,698.30/13,024.26 = 5,930.40/x
  3. Step 3: Cross multiply
    8,698.30x = 13,024.26 × 5,930.40
  4. Step 4: Simplify right side
    8,698.30x = 77,239,071.50
  5. Step 5: Solve for x
    x = 77,239,071.50/8,698.30
  6. Step 6: Final answer
    x = 8,879.79

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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.