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Finding the Fourth Proportional to 8,289.68, 11,438.88 and 4,704.80

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Solution

The fourth proportional to 8,289.68, 11,438.88 and 4,704.80 is: 6,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.68 : 11,438.88 = 4,704.80 : x
  2. Step 2: Convert to fraction form
    8,289.68/11,438.88 = 4,704.80/x
  3. Step 3: Cross multiply
    8,289.68x = 11,438.88 × 4,704.80
  4. Step 4: Simplify right side
    8,289.68x = 53,817,642.62
  5. Step 5: Solve for x
    x = 53,817,642.62/8,289.68
  6. Step 6: Final answer
    x = 6,492.13

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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.