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Finding the Fourth Proportional to 10,615.40, 15,923.10 and 8,282.60

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Solution

The fourth proportional to 10,615.40, 15,923.10 and 8,282.60 is: 12,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.40 : 15,923.10 = 8,282.60 : x
  2. Step 2: Convert to fraction form
    10,615.40/15,923.10 = 8,282.60/x
  3. Step 3: Cross multiply
    10,615.40x = 15,923.10 × 8,282.60
  4. Step 4: Simplify right side
    10,615.40x = 131,884,668.06
  5. Step 5: Solve for x
    x = 131,884,668.06/10,615.40
  6. Step 6: Final answer
    x = 12,423.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.