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Finding the Fourth Proportional to 11,707.41, 17,557.17 and 3,384.66

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Solution

The fourth proportional to 11,707.41, 17,557.17 and 3,384.66 is: 5,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.41 : 17,557.17 = 3,384.66 : x
  2. Step 2: Convert to fraction form
    11,707.41/17,557.17 = 3,384.66/x
  3. Step 3: Cross multiply
    11,707.41x = 17,557.17 × 3,384.66
  4. Step 4: Simplify right side
    11,707.41x = 59,425,051.01
  5. Step 5: Solve for x
    x = 59,425,051.01/11,707.41
  6. Step 6: Final answer
    x = 5,075.85

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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.