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Finding the Fourth Proportional to 7,143.84, 10,715.68 and 2,525.76

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Solution

The fourth proportional to 7,143.84, 10,715.68 and 2,525.76 is: 3,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.84 : 10,715.68 = 2,525.76 : x
  2. Step 2: Convert to fraction form
    7,143.84/10,715.68 = 2,525.76/x
  3. Step 3: Cross multiply
    7,143.84x = 10,715.68 × 2,525.76
  4. Step 4: Simplify right side
    7,143.84x = 27,065,235.92
  5. Step 5: Solve for x
    x = 27,065,235.92/7,143.84
  6. Step 6: Final answer
    x = 3,788.61

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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.