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Finding the Fourth Proportional to 10,499.41, 14,489.19 and 5,783.69

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Solution

The fourth proportional to 10,499.41, 14,489.19 and 5,783.69 is: 7,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.41 : 14,489.19 = 5,783.69 : x
  2. Step 2: Convert to fraction form
    10,499.41/14,489.19 = 5,783.69/x
  3. Step 3: Cross multiply
    10,499.41x = 14,489.19 × 5,783.69
  4. Step 4: Simplify right side
    10,499.41x = 83,800,983.31
  5. Step 5: Solve for x
    x = 83,800,983.31/10,499.41
  6. Step 6: Final answer
    x = 7,981.49

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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.