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Finding the Fourth Proportional to 10,054.08, 13,848.76 and 8,458.80

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Solution

The fourth proportional to 10,054.08, 13,848.76 and 8,458.80 is: 11,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.08 : 13,848.76 = 8,458.80 : x
  2. Step 2: Convert to fraction form
    10,054.08/13,848.76 = 8,458.80/x
  3. Step 3: Cross multiply
    10,054.08x = 13,848.76 × 8,458.80
  4. Step 4: Simplify right side
    10,054.08x = 117,143,891.09
  5. Step 5: Solve for x
    x = 117,143,891.09/10,054.08
  6. Step 6: Final answer
    x = 11,651.38

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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.