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Finding the Fourth Proportional to 10,435.29, 14,402.17 and 6,457.68

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Solution

The fourth proportional to 10,435.29, 14,402.17 and 6,457.68 is: 8,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.29 : 14,402.17 = 6,457.68 : x
  2. Step 2: Convert to fraction form
    10,435.29/14,402.17 = 6,457.68/x
  3. Step 3: Cross multiply
    10,435.29x = 14,402.17 × 6,457.68
  4. Step 4: Simplify right side
    10,435.29x = 93,004,613.24
  5. Step 5: Solve for x
    x = 93,004,613.24/10,435.29
  6. Step 6: Final answer
    x = 8,912.51

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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.