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Finding the Fourth Proportional to 11,535.78, 17,302.08 and 4,139.16

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Solution

The fourth proportional to 11,535.78, 17,302.08 and 4,139.16 is: 6,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.78 : 17,302.08 = 4,139.16 : x
  2. Step 2: Convert to fraction form
    11,535.78/17,302.08 = 4,139.16/x
  3. Step 3: Cross multiply
    11,535.78x = 17,302.08 × 4,139.16
  4. Step 4: Simplify right side
    11,535.78x = 71,616,077.45
  5. Step 5: Solve for x
    x = 71,616,077.45/11,535.78
  6. Step 6: Final answer
    x = 6,208.17

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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.