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Finding the Fourth Proportional to 11,559.72, 15,954.84 and 7,308.06

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Solution

The fourth proportional to 11,559.72, 15,954.84 and 7,308.06 is: 10,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.72 : 15,954.84 = 7,308.06 : x
  2. Step 2: Convert to fraction form
    11,559.72/15,954.84 = 7,308.06/x
  3. Step 3: Cross multiply
    11,559.72x = 15,954.84 × 7,308.06
  4. Step 4: Simplify right side
    11,559.72x = 116,598,928.01
  5. Step 5: Solve for x
    x = 116,598,928.01/11,559.72
  6. Step 6: Final answer
    x = 10,086.66

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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.