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Finding the Fourth Proportional to 7,416.63, 10,234.96 and 4,059.59

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Solution

The fourth proportional to 7,416.63, 10,234.96 and 4,059.59 is: 5,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.63 : 10,234.96 = 4,059.59 : x
  2. Step 2: Convert to fraction form
    7,416.63/10,234.96 = 4,059.59/x
  3. Step 3: Cross multiply
    7,416.63x = 10,234.96 × 4,059.59
  4. Step 4: Simplify right side
    7,416.63x = 41,549,679.94
  5. Step 5: Solve for x
    x = 41,549,679.94/7,416.63
  6. Step 6: Final answer
    x = 5,602.23

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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.