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Finding the Fourth Proportional to 11,376.50, 17,066.64 and 3,583.76

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Solution

The fourth proportional to 11,376.50, 17,066.64 and 3,583.76 is: 5,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.50 : 17,066.64 = 3,583.76 : x
  2. Step 2: Convert to fraction form
    11,376.50/17,066.64 = 3,583.76/x
  3. Step 3: Cross multiply
    11,376.50x = 17,066.64 × 3,583.76
  4. Step 4: Simplify right side
    11,376.50x = 61,162,741.77
  5. Step 5: Solve for x
    x = 61,162,741.77/11,376.50
  6. Step 6: Final answer
    x = 5,376.24

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Why These Related Problems?

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