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Finding the Fourth Proportional to 11,710.90, 16,160.34 and 6,674.41

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Solution

The fourth proportional to 11,710.90, 16,160.34 and 6,674.41 is: 9,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.90 : 16,160.34 = 6,674.41 : x
  2. Step 2: Convert to fraction form
    11,710.90/16,160.34 = 6,674.41/x
  3. Step 3: Cross multiply
    11,710.90x = 16,160.34 × 6,674.41
  4. Step 4: Simplify right side
    11,710.90x = 107,860,734.90
  5. Step 5: Solve for x
    x = 107,860,734.90/11,710.90
  6. Step 6: Final answer
    x = 9,210.29

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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.