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Finding the Fourth Proportional to 11,539.41, 15,913.83 and 7,559.07

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Solution

The fourth proportional to 11,539.41, 15,913.83 and 7,559.07 is: 10,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.41 : 15,913.83 = 7,559.07 : x
  2. Step 2: Convert to fraction form
    11,539.41/15,913.83 = 7,559.07/x
  3. Step 3: Cross multiply
    11,539.41x = 15,913.83 × 7,559.07
  4. Step 4: Simplify right side
    11,539.41x = 120,293,754.94
  5. Step 5: Solve for x
    x = 120,293,754.94/11,539.41
  6. Step 6: Final answer
    x = 10,424.60

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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.