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Finding the Fourth Proportional to 7,562.50, 10,437.90 and 4,206.46

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Solution

The fourth proportional to 7,562.50, 10,437.90 and 4,206.46 is: 5,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.50 : 10,437.90 = 4,206.46 : x
  2. Step 2: Convert to fraction form
    7,562.50/10,437.90 = 4,206.46/x
  3. Step 3: Cross multiply
    7,562.50x = 10,437.90 × 4,206.46
  4. Step 4: Simplify right side
    7,562.50x = 43,906,608.83
  5. Step 5: Solve for x
    x = 43,906,608.83/7,562.50
  6. Step 6: Final answer
    x = 5,805.83

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