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Finding the Fourth Proportional to 11,720.90, 17,573.54 and 6,458.39

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Solution

The fourth proportional to 11,720.90, 17,573.54 and 6,458.39 is: 9,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.90 : 17,573.54 = 6,458.39 : x
  2. Step 2: Convert to fraction form
    11,720.90/17,573.54 = 6,458.39/x
  3. Step 3: Cross multiply
    11,720.90x = 17,573.54 × 6,458.39
  4. Step 4: Simplify right side
    11,720.90x = 113,496,703.28
  5. Step 5: Solve for x
    x = 113,496,703.28/11,720.90
  6. Step 6: Final answer
    x = 9,683.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.