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Finding the Fourth Proportional to 10,257.96, 15,390 and 3,684.72

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Solution

The fourth proportional to 10,257.96, 15,390 and 3,684.72 is: 5,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.96 : 15,390 = 3,684.72 : x
  2. Step 2: Convert to fraction form
    10,257.96/15,390 = 3,684.72/x
  3. Step 3: Cross multiply
    10,257.96x = 15,390 × 3,684.72
  4. Step 4: Simplify right side
    10,257.96x = 56,707,840.80
  5. Step 5: Solve for x
    x = 56,707,840.80/10,257.96
  6. Step 6: Final answer
    x = 5,528.18

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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.