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Finding the Fourth Proportional to 11,357.96, 15,672.26 and 6,512.00

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Solution

The fourth proportional to 11,357.96, 15,672.26 and 6,512.00 is: 8,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.96 : 15,672.26 = 6,512.00 : x
  2. Step 2: Convert to fraction form
    11,357.96/15,672.26 = 6,512.00/x
  3. Step 3: Cross multiply
    11,357.96x = 15,672.26 × 6,512.00
  4. Step 4: Simplify right side
    11,357.96x = 102,057,646.20
  5. Step 5: Solve for x
    x = 102,057,646.20/11,357.96
  6. Step 6: Final answer
    x = 8,985.57

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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.