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Finding the Fourth Proportional to 10,293.12, 15,446.16 and 6,405.12

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Solution

The fourth proportional to 10,293.12, 15,446.16 and 6,405.12 is: 9,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.12 : 15,446.16 = 6,405.12 : x
  2. Step 2: Convert to fraction form
    10,293.12/15,446.16 = 6,405.12/x
  3. Step 3: Cross multiply
    10,293.12x = 15,446.16 × 6,405.12
  4. Step 4: Simplify right side
    10,293.12x = 98,934,508.34
  5. Step 5: Solve for x
    x = 98,934,508.34/10,293.12
  6. Step 6: Final answer
    x = 9,611.71

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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.