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Finding the Fourth Proportional to 10,019.58, 13,833.33 and 6,435.99

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Solution

The fourth proportional to 10,019.58, 13,833.33 and 6,435.99 is: 8,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.58 : 13,833.33 = 6,435.99 : x
  2. Step 2: Convert to fraction form
    10,019.58/13,833.33 = 6,435.99/x
  3. Step 3: Cross multiply
    10,019.58x = 13,833.33 × 6,435.99
  4. Step 4: Simplify right side
    10,019.58x = 89,031,097.54
  5. Step 5: Solve for x
    x = 89,031,097.54/10,019.58
  6. Step 6: Final answer
    x = 8,885.71

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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.