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Finding the Fourth Proportional to 7,562, 10,437.21 and 4,205.96

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Solution

The fourth proportional to 7,562, 10,437.21 and 4,205.96 is: 5,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562 : 10,437.21 = 4,205.96 : x
  2. Step 2: Convert to fraction form
    7,562/10,437.21 = 4,205.96/x
  3. Step 3: Cross multiply
    7,562x = 10,437.21 × 4,205.96
  4. Step 4: Simplify right side
    7,562x = 43,898,487.77
  5. Step 5: Solve for x
    x = 43,898,487.77/7,562
  6. Step 6: Final answer
    x = 5,805.14

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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.