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Finding the Fourth Proportional to 11,630.30, 17,448.39 and 5,057.66

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Solution

The fourth proportional to 11,630.30, 17,448.39 and 5,057.66 is: 7,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.30 : 17,448.39 = 5,057.66 : x
  2. Step 2: Convert to fraction form
    11,630.30/17,448.39 = 5,057.66/x
  3. Step 3: Cross multiply
    11,630.30x = 17,448.39 × 5,057.66
  4. Step 4: Simplify right side
    11,630.30x = 88,248,024.17
  5. Step 5: Solve for x
    x = 88,248,024.17/11,630.30
  6. Step 6: Final answer
    x = 7,587.77

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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.