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Finding the Fourth Proportional to 11,314.57, 16,966.37 and 6,636.10

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Solution

The fourth proportional to 11,314.57, 16,966.37 and 6,636.10 is: 9,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.57 : 16,966.37 = 6,636.10 : x
  2. Step 2: Convert to fraction form
    11,314.57/16,966.37 = 6,636.10/x
  3. Step 3: Cross multiply
    11,314.57x = 16,966.37 × 6,636.10
  4. Step 4: Simplify right side
    11,314.57x = 112,590,527.96
  5. Step 5: Solve for x
    x = 112,590,527.96/11,314.57
  6. Step 6: Final answer
    x = 9,950.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.