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Finding the Fourth Proportional to 7,780.80, 11,671.26 and 1,937.19

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Solution

The fourth proportional to 7,780.80, 11,671.26 and 1,937.19 is: 2,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.80 : 11,671.26 = 1,937.19 : x
  2. Step 2: Convert to fraction form
    7,780.80/11,671.26 = 1,937.19/x
  3. Step 3: Cross multiply
    7,780.80x = 11,671.26 × 1,937.19
  4. Step 4: Simplify right side
    7,780.80x = 22,609,448.16
  5. Step 5: Solve for x
    x = 22,609,448.16/7,780.80
  6. Step 6: Final answer
    x = 2,905.80

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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.