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Finding the Fourth Proportional to 8,432.81, 11,638.07 and 6,304.65

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Solution

The fourth proportional to 8,432.81, 11,638.07 and 6,304.65 is: 8,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.81 : 11,638.07 = 6,304.65 : x
  2. Step 2: Convert to fraction form
    8,432.81/11,638.07 = 6,304.65/x
  3. Step 3: Cross multiply
    8,432.81x = 11,638.07 × 6,304.65
  4. Step 4: Simplify right side
    8,432.81x = 73,373,926.50
  5. Step 5: Solve for x
    x = 73,373,926.50/8,432.81
  6. Step 6: Final answer
    x = 8,701.01

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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.