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Finding the Fourth Proportional to 12,085.60, 16,678.29 and 6,780.10

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Solution

The fourth proportional to 12,085.60, 16,678.29 and 6,780.10 is: 9,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.60 : 16,678.29 = 6,780.10 : x
  2. Step 2: Convert to fraction form
    12,085.60/16,678.29 = 6,780.10/x
  3. Step 3: Cross multiply
    12,085.60x = 16,678.29 × 6,780.10
  4. Step 4: Simplify right side
    12,085.60x = 113,080,474.03
  5. Step 5: Solve for x
    x = 113,080,474.03/12,085.60
  6. Step 6: Final answer
    x = 9,356.63

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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.