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Finding the Fourth Proportional to 7,738.16, 11,607.21 and 2,807.78

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Solution

The fourth proportional to 7,738.16, 11,607.21 and 2,807.78 is: 4,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.16 : 11,607.21 = 2,807.78 : x
  2. Step 2: Convert to fraction form
    7,738.16/11,607.21 = 2,807.78/x
  3. Step 3: Cross multiply
    7,738.16x = 11,607.21 × 2,807.78
  4. Step 4: Simplify right side
    7,738.16x = 32,590,434.06
  5. Step 5: Solve for x
    x = 32,590,434.06/7,738.16
  6. Step 6: Final answer
    x = 4,211.65

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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.