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Finding the Fourth Proportional to 11,339.70, 15,656.40 and 8,682.36

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Solution

The fourth proportional to 11,339.70, 15,656.40 and 8,682.36 is: 11,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.70 : 15,656.40 = 8,682.36 : x
  2. Step 2: Convert to fraction form
    11,339.70/15,656.40 = 8,682.36/x
  3. Step 3: Cross multiply
    11,339.70x = 15,656.40 × 8,682.36
  4. Step 4: Simplify right side
    11,339.70x = 135,934,501.10
  5. Step 5: Solve for x
    x = 135,934,501.10/11,339.70
  6. Step 6: Final answer
    x = 11,987.49

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