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Finding the Fourth Proportional to 10,426.88, 14,391.04 and 8,746.24

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Solution

The fourth proportional to 10,426.88, 14,391.04 and 8,746.24 is: 12,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.88 : 14,391.04 = 8,746.24 : x
  2. Step 2: Convert to fraction form
    10,426.88/14,391.04 = 8,746.24/x
  3. Step 3: Cross multiply
    10,426.88x = 14,391.04 × 8,746.24
  4. Step 4: Simplify right side
    10,426.88x = 125,867,489.69
  5. Step 5: Solve for x
    x = 125,867,489.69/10,426.88
  6. Step 6: Final answer
    x = 12,071.44

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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.