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Finding the Fourth Proportional to 11,971.92, 16,521.53 and 6,666.63

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Solution

The fourth proportional to 11,971.92, 16,521.53 and 6,666.63 is: 9,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.92 : 16,521.53 = 6,666.63 : x
  2. Step 2: Convert to fraction form
    11,971.92/16,521.53 = 6,666.63/x
  3. Step 3: Cross multiply
    11,971.92x = 16,521.53 × 6,666.63
  4. Step 4: Simplify right side
    11,971.92x = 110,142,927.54
  5. Step 5: Solve for x
    x = 110,142,927.54/11,971.92
  6. Step 6: Final answer
    x = 9,200.11

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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.