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Finding the Fourth Proportional to 10,403.94, 14,357.07 and 6,155.76

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Solution

The fourth proportional to 10,403.94, 14,357.07 and 6,155.76 is: 8,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.94 : 14,357.07 = 6,155.76 : x
  2. Step 2: Convert to fraction form
    10,403.94/14,357.07 = 6,155.76/x
  3. Step 3: Cross multiply
    10,403.94x = 14,357.07 × 6,155.76
  4. Step 4: Simplify right side
    10,403.94x = 88,378,677.22
  5. Step 5: Solve for x
    x = 88,378,677.22/10,403.94
  6. Step 6: Final answer
    x = 8,494.73

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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.