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Finding the Fourth Proportional to 11,535.08, 17,309.62 and 4,609

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Solution

The fourth proportional to 11,535.08, 17,309.62 and 4,609 is: 6,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.08 : 17,309.62 = 4,609 : x
  2. Step 2: Convert to fraction form
    11,535.08/17,309.62 = 4,609/x
  3. Step 3: Cross multiply
    11,535.08x = 17,309.62 × 4,609
  4. Step 4: Simplify right side
    11,535.08x = 79,780,038.58
  5. Step 5: Solve for x
    x = 79,780,038.58/11,535.08
  6. Step 6: Final answer
    x = 6,916.30

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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.