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Finding the Fourth Proportional to 12,085.79, 16,678.35 and 6,780.60

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Solution

The fourth proportional to 12,085.79, 16,678.35 and 6,780.60 is: 9,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.79 : 16,678.35 = 6,780.60 : x
  2. Step 2: Convert to fraction form
    12,085.79/16,678.35 = 6,780.60/x
  3. Step 3: Cross multiply
    12,085.79x = 16,678.35 × 6,780.60
  4. Step 4: Simplify right side
    12,085.79x = 113,089,220.01
  5. Step 5: Solve for x
    x = 113,089,220.01/12,085.79
  6. Step 6: Final answer
    x = 9,357.21

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