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Finding the Fourth Proportional to 11,454.89, 15,808.72 and 6,419.06

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Solution

The fourth proportional to 11,454.89, 15,808.72 and 6,419.06 is: 8,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.89 : 15,808.72 = 6,419.06 : x
  2. Step 2: Convert to fraction form
    11,454.89/15,808.72 = 6,419.06/x
  3. Step 3: Cross multiply
    11,454.89x = 15,808.72 × 6,419.06
  4. Step 4: Simplify right side
    11,454.89x = 101,477,043.16
  5. Step 5: Solve for x
    x = 101,477,043.16/11,454.89
  6. Step 6: Final answer
    x = 8,858.84

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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.