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Finding the Fourth Proportional to 10,426.64, 14,386.92 and 5,949.68

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Solution

The fourth proportional to 10,426.64, 14,386.92 and 5,949.68 is: 8,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.64 : 14,386.92 = 5,949.68 : x
  2. Step 2: Convert to fraction form
    10,426.64/14,386.92 = 5,949.68/x
  3. Step 3: Cross multiply
    10,426.64x = 14,386.92 × 5,949.68
  4. Step 4: Simplify right side
    10,426.64x = 85,597,570.19
  5. Step 5: Solve for x
    x = 85,597,570.19/10,426.64
  6. Step 6: Final answer
    x = 8,209.51

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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.