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Finding the Fourth Proportional to 11,439.64, 15,784.88 and 6,404.07

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Solution

The fourth proportional to 11,439.64, 15,784.88 and 6,404.07 is: 8,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.64 : 15,784.88 = 6,404.07 : x
  2. Step 2: Convert to fraction form
    11,439.64/15,784.88 = 6,404.07/x
  3. Step 3: Cross multiply
    11,439.64x = 15,784.88 × 6,404.07
  4. Step 4: Simplify right side
    11,439.64x = 101,087,450.87
  5. Step 5: Solve for x
    x = 101,087,450.87/11,439.64
  6. Step 6: Final answer
    x = 8,836.60

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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.