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Finding the Fourth Proportional to 5,262.84, 7,894.24 and 5,000.06

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Solution

The fourth proportional to 5,262.84, 7,894.24 and 5,000.06 is: 7,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.84 : 7,894.24 = 5,000.06 : x
  2. Step 2: Convert to fraction form
    5,262.84/7,894.24 = 5,000.06/x
  3. Step 3: Cross multiply
    5,262.84x = 7,894.24 × 5,000.06
  4. Step 4: Simplify right side
    5,262.84x = 39,471,680.89
  5. Step 5: Solve for x
    x = 39,471,680.89/5,262.84
  6. Step 6: Final answer
    x = 7,500.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.