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Finding the Fourth Proportional to 11,539.98, 15,924.33 and 6,503.94

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Solution

The fourth proportional to 11,539.98, 15,924.33 and 6,503.94 is: 8,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.98 : 15,924.33 = 6,503.94 : x
  2. Step 2: Convert to fraction form
    11,539.98/15,924.33 = 6,503.94/x
  3. Step 3: Cross multiply
    11,539.98x = 15,924.33 × 6,503.94
  4. Step 4: Simplify right side
    11,539.98x = 103,570,886.86
  5. Step 5: Solve for x
    x = 103,570,886.86/11,539.98
  6. Step 6: Final answer
    x = 8,974.96

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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.