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Finding the Fourth Proportional to 7,523.12, 10,369.14 and 5,750.84

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Solution

The fourth proportional to 7,523.12, 10,369.14 and 5,750.84 is: 7,926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.12 : 10,369.14 = 5,750.84 : x
  2. Step 2: Convert to fraction form
    7,523.12/10,369.14 = 5,750.84/x
  3. Step 3: Cross multiply
    7,523.12x = 10,369.14 × 5,750.84
  4. Step 4: Simplify right side
    7,523.12x = 59,631,265.08
  5. Step 5: Solve for x
    x = 59,631,265.08/7,523.12
  6. Step 6: Final answer
    x = 7,926.40

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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.