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Finding the Fourth Proportional to 7,780.66, 11,671.03 and 1,937.27

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Solution

The fourth proportional to 7,780.66, 11,671.03 and 1,937.27 is: 2,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.66 : 11,671.03 = 1,937.27 : x
  2. Step 2: Convert to fraction form
    7,780.66/11,671.03 = 1,937.27/x
  3. Step 3: Cross multiply
    7,780.66x = 11,671.03 × 1,937.27
  4. Step 4: Simplify right side
    7,780.66x = 22,609,967.89
  5. Step 5: Solve for x
    x = 22,609,967.89/7,780.66
  6. Step 6: Final answer
    x = 2,905.92

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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.