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Finding the Fourth Proportional to 10,453.86, 14,364.95 and 8,354.34

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Solution

The fourth proportional to 10,453.86, 14,364.95 and 8,354.34 is: 11,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.86 : 14,364.95 = 8,354.34 : x
  2. Step 2: Convert to fraction form
    10,453.86/14,364.95 = 8,354.34/x
  3. Step 3: Cross multiply
    10,453.86x = 14,364.95 × 8,354.34
  4. Step 4: Simplify right side
    10,453.86x = 120,009,634.61
  5. Step 5: Solve for x
    x = 120,009,634.61/10,453.86
  6. Step 6: Final answer
    x = 11,479.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.