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Finding the Fourth Proportional to 11,510.65, 17,269.61 and 4,114.95

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Solution

The fourth proportional to 11,510.65, 17,269.61 and 4,114.95 is: 6,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.65 : 17,269.61 = 4,114.95 : x
  2. Step 2: Convert to fraction form
    11,510.65/17,269.61 = 4,114.95/x
  3. Step 3: Cross multiply
    11,510.65x = 17,269.61 × 4,114.95
  4. Step 4: Simplify right side
    11,510.65x = 71,063,581.67
  5. Step 5: Solve for x
    x = 71,063,581.67/11,510.65
  6. Step 6: Final answer
    x = 6,173.72

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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.