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Finding the Fourth Proportional to 7,780.19, 11,671.49 and 6,798.47

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Solution

The fourth proportional to 7,780.19, 11,671.49 and 6,798.47 is: 10,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.19 : 11,671.49 = 6,798.47 : x
  2. Step 2: Convert to fraction form
    7,780.19/11,671.49 = 6,798.47/x
  3. Step 3: Cross multiply
    7,780.19x = 11,671.49 × 6,798.47
  4. Step 4: Simplify right side
    7,780.19x = 79,348,233.26
  5. Step 5: Solve for x
    x = 79,348,233.26/7,780.19
  6. Step 6: Final answer
    x = 10,198.76

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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.