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Finding the Fourth Proportional to 7,634.84, 11,443.14 and 4,343.40

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Solution

The fourth proportional to 7,634.84, 11,443.14 and 4,343.40 is: 6,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.84 : 11,443.14 = 4,343.40 : x
  2. Step 2: Convert to fraction form
    7,634.84/11,443.14 = 4,343.40/x
  3. Step 3: Cross multiply
    7,634.84x = 11,443.14 × 4,343.40
  4. Step 4: Simplify right side
    7,634.84x = 49,702,134.28
  5. Step 5: Solve for x
    x = 49,702,134.28/7,634.84
  6. Step 6: Final answer
    x = 6,509.92

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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.