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Finding the Fourth Proportional to 11,502.36, 15,872.76 and 7,033.56

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Solution

The fourth proportional to 11,502.36, 15,872.76 and 7,033.56 is: 9,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.36 : 15,872.76 = 7,033.56 : x
  2. Step 2: Convert to fraction form
    11,502.36/15,872.76 = 7,033.56/x
  3. Step 3: Cross multiply
    11,502.36x = 15,872.76 × 7,033.56
  4. Step 4: Simplify right side
    11,502.36x = 111,642,009.83
  5. Step 5: Solve for x
    x = 111,642,009.83/11,502.36
  6. Step 6: Final answer
    x = 9,706.01

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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.