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Finding the Fourth Proportional to 7,539.74, 10,404.90 and 4,182.83

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Solution

The fourth proportional to 7,539.74, 10,404.90 and 4,182.83 is: 5,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.74 : 10,404.90 = 4,182.83 : x
  2. Step 2: Convert to fraction form
    7,539.74/10,404.90 = 4,182.83/x
  3. Step 3: Cross multiply
    7,539.74x = 10,404.90 × 4,182.83
  4. Step 4: Simplify right side
    7,539.74x = 43,521,875.84
  5. Step 5: Solve for x
    x = 43,521,875.84/7,539.74
  6. Step 6: Final answer
    x = 5,772.33

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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.