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Finding the Fourth Proportional to 6,728.78, 10,088.85 and 4,642.94

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Solution

The fourth proportional to 6,728.78, 10,088.85 and 4,642.94 is: 6,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.78 : 10,088.85 = 4,642.94 : x
  2. Step 2: Convert to fraction form
    6,728.78/10,088.85 = 4,642.94/x
  3. Step 3: Cross multiply
    6,728.78x = 10,088.85 × 4,642.94
  4. Step 4: Simplify right side
    6,728.78x = 46,841,925.22
  5. Step 5: Solve for x
    x = 46,841,925.22/6,728.78
  6. Step 6: Final answer
    x = 6,961.43

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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.