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Finding the Fourth Proportional to 10,582.64, 15,861.64 and 8,504.99

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Solution

The fourth proportional to 10,582.64, 15,861.64 and 8,504.99 is: 12,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.64 : 15,861.64 = 8,504.99 : x
  2. Step 2: Convert to fraction form
    10,582.64/15,861.64 = 8,504.99/x
  3. Step 3: Cross multiply
    10,582.64x = 15,861.64 × 8,504.99
  4. Step 4: Simplify right side
    10,582.64x = 134,903,089.58
  5. Step 5: Solve for x
    x = 134,903,089.58/10,582.64
  6. Step 6: Final answer
    x = 12,747.58

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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.