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Finding the Fourth Proportional to 11,176.69, 15,423.76 and 6,072.16

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Solution

The fourth proportional to 11,176.69, 15,423.76 and 6,072.16 is: 8,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.69 : 15,423.76 = 6,072.16 : x
  2. Step 2: Convert to fraction form
    11,176.69/15,423.76 = 6,072.16/x
  3. Step 3: Cross multiply
    11,176.69x = 15,423.76 × 6,072.16
  4. Step 4: Simplify right side
    11,176.69x = 93,655,538.52
  5. Step 5: Solve for x
    x = 93,655,538.52/11,176.69
  6. Step 6: Final answer
    x = 8,379.54

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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.