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Finding the Fourth Proportional to 11,776.15, 17,661.46 and 4,384.09

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Solution

The fourth proportional to 11,776.15, 17,661.46 and 4,384.09 is: 6,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.15 : 17,661.46 = 4,384.09 : x
  2. Step 2: Convert to fraction form
    11,776.15/17,661.46 = 4,384.09/x
  3. Step 3: Cross multiply
    11,776.15x = 17,661.46 × 4,384.09
  4. Step 4: Simplify right side
    11,776.15x = 77,429,430.17
  5. Step 5: Solve for x
    x = 77,429,430.17/11,776.15
  6. Step 6: Final answer
    x = 6,575.11

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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.