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Finding the Fourth Proportional to 7,416.67, 10,234.93 and 4,013.61

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Solution

The fourth proportional to 7,416.67, 10,234.93 and 4,013.61 is: 5,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.67 : 10,234.93 = 4,013.61 : x
  2. Step 2: Convert to fraction form
    7,416.67/10,234.93 = 4,013.61/x
  3. Step 3: Cross multiply
    7,416.67x = 10,234.93 × 4,013.61
  4. Step 4: Simplify right side
    7,416.67x = 41,078,981.78
  5. Step 5: Solve for x
    x = 41,078,981.78/7,416.67
  6. Step 6: Final answer
    x = 5,538.74

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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.