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Finding the Fourth Proportional to 8,303.86, 11,508.78 and 8,148.34

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Solution

The fourth proportional to 8,303.86, 11,508.78 and 8,148.34 is: 11,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.86 : 11,508.78 = 8,148.34 : x
  2. Step 2: Convert to fraction form
    8,303.86/11,508.78 = 8,148.34/x
  3. Step 3: Cross multiply
    8,303.86x = 11,508.78 × 8,148.34
  4. Step 4: Simplify right side
    8,303.86x = 93,777,394.88
  5. Step 5: Solve for x
    x = 93,777,394.88/8,303.86
  6. Step 6: Final answer
    x = 11,293.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.