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Finding the Fourth Proportional to 11,580.45, 17,393.91 and 6,909.58

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Solution

The fourth proportional to 11,580.45, 17,393.91 and 6,909.58 is: 10,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.45 : 17,393.91 = 6,909.58 : x
  2. Step 2: Convert to fraction form
    11,580.45/17,393.91 = 6,909.58/x
  3. Step 3: Cross multiply
    11,580.45x = 17,393.91 × 6,909.58
  4. Step 4: Simplify right side
    11,580.45x = 120,184,612.66
  5. Step 5: Solve for x
    x = 120,184,612.66/11,580.45
  6. Step 6: Final answer
    x = 10,378.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.