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Finding the Fourth Proportional to 11,205.60, 15,464.47 and 6,489.88

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Solution

The fourth proportional to 11,205.60, 15,464.47 and 6,489.88 is: 8,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.60 : 15,464.47 = 6,489.88 : x
  2. Step 2: Convert to fraction form
    11,205.60/15,464.47 = 6,489.88/x
  3. Step 3: Cross multiply
    11,205.60x = 15,464.47 × 6,489.88
  4. Step 4: Simplify right side
    11,205.60x = 100,362,598.83
  5. Step 5: Solve for x
    x = 100,362,598.83/11,205.60
  6. Step 6: Final answer
    x = 8,956.47

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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.