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Finding the Fourth Proportional to 7,539.84, 10,404.99 and 4,182.57

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Solution

The fourth proportional to 7,539.84, 10,404.99 and 4,182.57 is: 5,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.84 : 10,404.99 = 4,182.57 : x
  2. Step 2: Convert to fraction form
    7,539.84/10,404.99 = 4,182.57/x
  3. Step 3: Cross multiply
    7,539.84x = 10,404.99 × 4,182.57
  4. Step 4: Simplify right side
    7,539.84x = 43,519,599.02
  5. Step 5: Solve for x
    x = 43,519,599.02/7,539.84
  6. Step 6: Final answer
    x = 5,771.95

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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.