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Finding the Fourth Proportional to 10,930.96, 15,081.16 and 6,453.20

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Solution

The fourth proportional to 10,930.96, 15,081.16 and 6,453.20 is: 8,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.96 : 15,081.16 = 6,453.20 : x
  2. Step 2: Convert to fraction form
    10,930.96/15,081.16 = 6,453.20/x
  3. Step 3: Cross multiply
    10,930.96x = 15,081.16 × 6,453.20
  4. Step 4: Simplify right side
    10,930.96x = 97,321,741.71
  5. Step 5: Solve for x
    x = 97,321,741.71/10,930.96
  6. Step 6: Final answer
    x = 8,903.31

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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.