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Finding the Fourth Proportional to 10,632.84, 15,949.14 and 4,785.30

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Solution

The fourth proportional to 10,632.84, 15,949.14 and 4,785.30 is: 7,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.84 : 15,949.14 = 4,785.30 : x
  2. Step 2: Convert to fraction form
    10,632.84/15,949.14 = 4,785.30/x
  3. Step 3: Cross multiply
    10,632.84x = 15,949.14 × 4,785.30
  4. Step 4: Simplify right side
    10,632.84x = 76,321,419.64
  5. Step 5: Solve for x
    x = 76,321,419.64/10,632.84
  6. Step 6: Final answer
    x = 7,177.90

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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.