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Finding the Fourth Proportional to 7,827.28, 11,733.02 and 4,907.64

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Solution

The fourth proportional to 7,827.28, 11,733.02 and 4,907.64 is: 7,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.28 : 11,733.02 = 4,907.64 : x
  2. Step 2: Convert to fraction form
    7,827.28/11,733.02 = 4,907.64/x
  3. Step 3: Cross multiply
    7,827.28x = 11,733.02 × 4,907.64
  4. Step 4: Simplify right side
    7,827.28x = 57,581,438.27
  5. Step 5: Solve for x
    x = 57,581,438.27/7,827.28
  6. Step 6: Final answer
    x = 7,356.51

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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.