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Finding the Fourth Proportional to 11,502.09, 17,253.47 and 3,182.17

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Solution

The fourth proportional to 11,502.09, 17,253.47 and 3,182.17 is: 4,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.09 : 17,253.47 = 3,182.17 : x
  2. Step 2: Convert to fraction form
    11,502.09/17,253.47 = 3,182.17/x
  3. Step 3: Cross multiply
    11,502.09x = 17,253.47 × 3,182.17
  4. Step 4: Simplify right side
    11,502.09x = 54,903,474.63
  5. Step 5: Solve for x
    x = 54,903,474.63/11,502.09
  6. Step 6: Final answer
    x = 4,773.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.