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Finding the Fourth Proportional to 7,735.90, 10,676.64 and 5,090.98

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Solution

The fourth proportional to 7,735.90, 10,676.64 and 5,090.98 is: 7,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.90 : 10,676.64 = 5,090.98 : x
  2. Step 2: Convert to fraction form
    7,735.90/10,676.64 = 5,090.98/x
  3. Step 3: Cross multiply
    7,735.90x = 10,676.64 × 5,090.98
  4. Step 4: Simplify right side
    7,735.90x = 54,354,560.71
  5. Step 5: Solve for x
    x = 54,354,560.71/7,735.90
  6. Step 6: Final answer
    x = 7,026.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.