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Finding the Fourth Proportional to 11,854.89, 17,783.01 and 4,459.41

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Solution

The fourth proportional to 11,854.89, 17,783.01 and 4,459.41 is: 6,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.89 : 17,783.01 = 4,459.41 : x
  2. Step 2: Convert to fraction form
    11,854.89/17,783.01 = 4,459.41/x
  3. Step 3: Cross multiply
    11,854.89x = 17,783.01 × 4,459.41
  4. Step 4: Simplify right side
    11,854.89x = 79,301,621.41
  5. Step 5: Solve for x
    x = 79,301,621.41/11,854.89
  6. Step 6: Final answer
    x = 6,689.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.