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Finding the Fourth Proportional to 10,403.76, 14,373.36 and 8,722.56

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Solution

The fourth proportional to 10,403.76, 14,373.36 and 8,722.56 is: 12,050.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.76 : 14,373.36 = 8,722.56 : x
  2. Step 2: Convert to fraction form
    10,403.76/14,373.36 = 8,722.56/x
  3. Step 3: Cross multiply
    10,403.76x = 14,373.36 × 8,722.56
  4. Step 4: Simplify right side
    10,403.76x = 125,372,495.00
  5. Step 5: Solve for x
    x = 125,372,495.00/10,403.76
  6. Step 6: Final answer
    x = 12,050.69

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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.