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Finding the Fourth Proportional to 10,609.52, 14,630.88 and 7,022.84

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Solution

The fourth proportional to 10,609.52, 14,630.88 and 7,022.84 is: 9,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.52 : 14,630.88 = 7,022.84 : x
  2. Step 2: Convert to fraction form
    10,609.52/14,630.88 = 7,022.84/x
  3. Step 3: Cross multiply
    10,609.52x = 14,630.88 × 7,022.84
  4. Step 4: Simplify right side
    10,609.52x = 102,750,329.30
  5. Step 5: Solve for x
    x = 102,750,329.30/10,609.52
  6. Step 6: Final answer
    x = 9,684.73

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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.