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Finding the Fourth Proportional to 11,953.50, 17,923.29 and 4,558.47

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Solution

The fourth proportional to 11,953.50, 17,923.29 and 4,558.47 is: 6,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.50 : 17,923.29 = 4,558.47 : x
  2. Step 2: Convert to fraction form
    11,953.50/17,923.29 = 4,558.47/x
  3. Step 3: Cross multiply
    11,953.50x = 17,923.29 × 4,558.47
  4. Step 4: Simplify right side
    11,953.50x = 81,702,779.77
  5. Step 5: Solve for x
    x = 81,702,779.77/11,953.50
  6. Step 6: Final answer
    x = 6,835.05

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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.