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Finding the Fourth Proportional to 7,755.46, 11,628.06 and 4,009.66

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Solution

The fourth proportional to 7,755.46, 11,628.06 and 4,009.66 is: 6,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.46 : 11,628.06 = 4,009.66 : x
  2. Step 2: Convert to fraction form
    7,755.46/11,628.06 = 4,009.66/x
  3. Step 3: Cross multiply
    7,755.46x = 11,628.06 × 4,009.66
  4. Step 4: Simplify right side
    7,755.46x = 46,624,567.06
  5. Step 5: Solve for x
    x = 46,624,567.06/7,755.46
  6. Step 6: Final answer
    x = 6,011.84

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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.