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Finding the Fourth Proportional to 10,416.39, 15,625.19 and 3,754.34

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Solution

The fourth proportional to 10,416.39, 15,625.19 and 3,754.34 is: 5,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.39 : 15,625.19 = 3,754.34 : x
  2. Step 2: Convert to fraction form
    10,416.39/15,625.19 = 3,754.34/x
  3. Step 3: Cross multiply
    10,416.39x = 15,625.19 × 3,754.34
  4. Step 4: Simplify right side
    10,416.39x = 58,662,275.82
  5. Step 5: Solve for x
    x = 58,662,275.82/10,416.39
  6. Step 6: Final answer
    x = 5,631.73

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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.