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Finding the Fourth Proportional to 11,690.90, 16,116.66 and 7,211.63

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Solution

The fourth proportional to 11,690.90, 16,116.66 and 7,211.63 is: 9,941.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.90 : 16,116.66 = 7,211.63 : x
  2. Step 2: Convert to fraction form
    11,690.90/16,116.66 = 7,211.63/x
  3. Step 3: Cross multiply
    11,690.90x = 16,116.66 × 7,211.63
  4. Step 4: Simplify right side
    11,690.90x = 116,227,388.76
  5. Step 5: Solve for x
    x = 116,227,388.76/11,690.90
  6. Step 6: Final answer
    x = 9,941.70

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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.