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Finding the Fourth Proportional to 10,862.60, 16,262.90 and 9,824.60

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Solution

The fourth proportional to 10,862.60, 16,262.90 and 9,824.60 is: 14,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.60 : 16,262.90 = 9,824.60 : x
  2. Step 2: Convert to fraction form
    10,862.60/16,262.90 = 9,824.60/x
  3. Step 3: Cross multiply
    10,862.60x = 16,262.90 × 9,824.60
  4. Step 4: Simplify right side
    10,862.60x = 159,776,487.34
  5. Step 5: Solve for x
    x = 159,776,487.34/10,862.60
  6. Step 6: Final answer
    x = 14,708.86

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Why These Related Problems?

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