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Finding the Fourth Proportional to 11,705.90, 16,153.98 and 6,670.40

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Solution

The fourth proportional to 11,705.90, 16,153.98 and 6,670.40 is: 9,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.90 : 16,153.98 = 6,670.40 : x
  2. Step 2: Convert to fraction form
    11,705.90/16,153.98 = 6,670.40/x
  3. Step 3: Cross multiply
    11,705.90x = 16,153.98 × 6,670.40
  4. Step 4: Simplify right side
    11,705.90x = 107,753,508.19
  5. Step 5: Solve for x
    x = 107,753,508.19/11,705.90
  6. Step 6: Final answer
    x = 9,205.06

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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.