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Finding the Fourth Proportional to 7,776.61, 11,667.20 and 2,511.51

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Solution

The fourth proportional to 7,776.61, 11,667.20 and 2,511.51 is: 3,768.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.61 : 11,667.20 = 2,511.51 : x
  2. Step 2: Convert to fraction form
    7,776.61/11,667.20 = 2,511.51/x
  3. Step 3: Cross multiply
    7,776.61x = 11,667.20 × 2,511.51
  4. Step 4: Simplify right side
    7,776.61x = 29,302,289.47
  5. Step 5: Solve for x
    x = 29,302,289.47/7,776.61
  6. Step 6: Final answer
    x = 3,768.00

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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.