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Finding the Fourth Proportional to 11,309.06, 15,584.73 and 7,527.98

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Solution

The fourth proportional to 11,309.06, 15,584.73 and 7,527.98 is: 10,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.06 : 15,584.73 = 7,527.98 : x
  2. Step 2: Convert to fraction form
    11,309.06/15,584.73 = 7,527.98/x
  3. Step 3: Cross multiply
    11,309.06x = 15,584.73 × 7,527.98
  4. Step 4: Simplify right side
    11,309.06x = 117,321,535.75
  5. Step 5: Solve for x
    x = 117,321,535.75/11,309.06
  6. Step 6: Final answer
    x = 10,374.12

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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.