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Finding the Fourth Proportional to 7,934.32, 11,900.78 and 4,813.40

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Solution

The fourth proportional to 7,934.32, 11,900.78 and 4,813.40 is: 7,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.32 : 11,900.78 = 4,813.40 : x
  2. Step 2: Convert to fraction form
    7,934.32/11,900.78 = 4,813.40/x
  3. Step 3: Cross multiply
    7,934.32x = 11,900.78 × 4,813.40
  4. Step 4: Simplify right side
    7,934.32x = 57,283,214.45
  5. Step 5: Solve for x
    x = 57,283,214.45/7,934.32
  6. Step 6: Final answer
    x = 7,219.68

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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.