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Finding the Fourth Proportional to 11,539.74, 15,924.60 and 6,503.96

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Solution

The fourth proportional to 11,539.74, 15,924.60 and 6,503.96 is: 8,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.74 : 15,924.60 = 6,503.96 : x
  2. Step 2: Convert to fraction form
    11,539.74/15,924.60 = 6,503.96/x
  3. Step 3: Cross multiply
    11,539.74x = 15,924.60 × 6,503.96
  4. Step 4: Simplify right side
    11,539.74x = 103,572,961.42
  5. Step 5: Solve for x
    x = 103,572,961.42/11,539.74
  6. Step 6: Final answer
    x = 8,975.33

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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.