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Finding the Fourth Proportional to 8,040, 11,098.69 and 6,051.05

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Solution

The fourth proportional to 8,040, 11,098.69 and 6,051.05 is: 8,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040 : 11,098.69 = 6,051.05 : x
  2. Step 2: Convert to fraction form
    8,040/11,098.69 = 6,051.05/x
  3. Step 3: Cross multiply
    8,040x = 11,098.69 × 6,051.05
  4. Step 4: Simplify right side
    8,040x = 67,158,657.50
  5. Step 5: Solve for x
    x = 67,158,657.50/8,040
  6. Step 6: Final answer
    x = 8,353.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.