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Finding the Fourth Proportional to 10,646.96, 14,689.32 and 6,453.68

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Solution

The fourth proportional to 10,646.96, 14,689.32 and 6,453.68 is: 8,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.96 : 14,689.32 = 6,453.68 : x
  2. Step 2: Convert to fraction form
    10,646.96/14,689.32 = 6,453.68/x
  3. Step 3: Cross multiply
    10,646.96x = 14,689.32 × 6,453.68
  4. Step 4: Simplify right side
    10,646.96x = 94,800,170.70
  5. Step 5: Solve for x
    x = 94,800,170.70/10,646.96
  6. Step 6: Final answer
    x = 8,903.97

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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.