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Finding the Fourth Proportional to 10,054.20, 13,873.65 and 5,576.82

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Solution

The fourth proportional to 10,054.20, 13,873.65 and 5,576.82 is: 7,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.20 : 13,873.65 = 5,576.82 : x
  2. Step 2: Convert to fraction form
    10,054.20/13,873.65 = 5,576.82/x
  3. Step 3: Cross multiply
    10,054.20x = 13,873.65 × 5,576.82
  4. Step 4: Simplify right side
    10,054.20x = 77,370,848.79
  5. Step 5: Solve for x
    x = 77,370,848.79/10,054.20
  6. Step 6: Final answer
    x = 7,695.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.