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Finding the Fourth Proportional to 7,830.72, 11,738.16 and 2,899.44

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Solution

The fourth proportional to 7,830.72, 11,738.16 and 2,899.44 is: 4,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.72 : 11,738.16 = 2,899.44 : x
  2. Step 2: Convert to fraction form
    7,830.72/11,738.16 = 2,899.44/x
  3. Step 3: Cross multiply
    7,830.72x = 11,738.16 × 2,899.44
  4. Step 4: Simplify right side
    7,830.72x = 34,034,090.63
  5. Step 5: Solve for x
    x = 34,034,090.63/7,830.72
  6. Step 6: Final answer
    x = 4,346.23

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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.