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Finding the Fourth Proportional to 10,454.68, 14,426.49 and 6,205

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Solution

The fourth proportional to 10,454.68, 14,426.49 and 6,205 is: 8,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.68 : 14,426.49 = 6,205 : x
  2. Step 2: Convert to fraction form
    10,454.68/14,426.49 = 6,205/x
  3. Step 3: Cross multiply
    10,454.68x = 14,426.49 × 6,205
  4. Step 4: Simplify right side
    10,454.68x = 89,516,370.45
  5. Step 5: Solve for x
    x = 89,516,370.45/10,454.68
  6. Step 6: Final answer
    x = 8,562.33

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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.