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Finding the Fourth Proportional to 11,562.76, 15,958.38 and 6,529

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Solution

The fourth proportional to 11,562.76, 15,958.38 and 6,529 is: 9,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.76 : 15,958.38 = 6,529 : x
  2. Step 2: Convert to fraction form
    11,562.76/15,958.38 = 6,529/x
  3. Step 3: Cross multiply
    11,562.76x = 15,958.38 × 6,529
  4. Step 4: Simplify right side
    11,562.76x = 104,192,263.02
  5. Step 5: Solve for x
    x = 104,192,263.02/11,562.76
  6. Step 6: Final answer
    x = 9,011.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.