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Finding the Fourth Proportional to 11,652.58, 17,461.58 and 8,559.46

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Solution

The fourth proportional to 11,652.58, 17,461.58 and 8,559.46 is: 12,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.58 : 17,461.58 = 8,559.46 : x
  2. Step 2: Convert to fraction form
    11,652.58/17,461.58 = 8,559.46/x
  3. Step 3: Cross multiply
    11,652.58x = 17,461.58 × 8,559.46
  4. Step 4: Simplify right side
    11,652.58x = 149,461,695.55
  5. Step 5: Solve for x
    x = 149,461,695.55/11,652.58
  6. Step 6: Final answer
    x = 12,826.49

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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.