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Finding the Fourth Proportional to 10,008.54, 13,816.80 and 6,474.60

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Solution

The fourth proportional to 10,008.54, 13,816.80 and 6,474.60 is: 8,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.54 : 13,816.80 = 6,474.60 : x
  2. Step 2: Convert to fraction form
    10,008.54/13,816.80 = 6,474.60/x
  3. Step 3: Cross multiply
    10,008.54x = 13,816.80 × 6,474.60
  4. Step 4: Simplify right side
    10,008.54x = 89,458,253.28
  5. Step 5: Solve for x
    x = 89,458,253.28/10,008.54
  6. Step 6: Final answer
    x = 8,938.19

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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.