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Finding the Fourth Proportional to 10,813.84, 14,923.29 and 6,338.86

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Solution

The fourth proportional to 10,813.84, 14,923.29 and 6,338.86 is: 8,747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.84 : 14,923.29 = 6,338.86 : x
  2. Step 2: Convert to fraction form
    10,813.84/14,923.29 = 6,338.86/x
  3. Step 3: Cross multiply
    10,813.84x = 14,923.29 × 6,338.86
  4. Step 4: Simplify right side
    10,813.84x = 94,596,646.05
  5. Step 5: Solve for x
    x = 94,596,646.05/10,813.84
  6. Step 6: Final answer
    x = 8,747.74

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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.