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Finding the Fourth Proportional to 11,431.08, 15,766.42 and 8,070.39

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Solution

The fourth proportional to 11,431.08, 15,766.42 and 8,070.39 is: 11,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.08 : 15,766.42 = 8,070.39 : x
  2. Step 2: Convert to fraction form
    11,431.08/15,766.42 = 8,070.39/x
  3. Step 3: Cross multiply
    11,431.08x = 15,766.42 × 8,070.39
  4. Step 4: Simplify right side
    11,431.08x = 127,241,158.30
  5. Step 5: Solve for x
    x = 127,241,158.30/11,431.08
  6. Step 6: Final answer
    x = 11,131.16

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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.