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Finding the Fourth Proportional to 11,622.15, 16,039.05 and 6,586.32

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Solution

The fourth proportional to 11,622.15, 16,039.05 and 6,586.32 is: 9,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.15 : 16,039.05 = 6,586.32 : x
  2. Step 2: Convert to fraction form
    11,622.15/16,039.05 = 6,586.32/x
  3. Step 3: Cross multiply
    11,622.15x = 16,039.05 × 6,586.32
  4. Step 4: Simplify right side
    11,622.15x = 105,638,315.80
  5. Step 5: Solve for x
    x = 105,638,315.80/11,622.15
  6. Step 6: Final answer
    x = 9,089.39

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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.