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Finding the Fourth Proportional to 7,340.64, 11,012.88 and 4,260

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Solution

The fourth proportional to 7,340.64, 11,012.88 and 4,260 is: 6,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.64 : 11,012.88 = 4,260 : x
  2. Step 2: Convert to fraction form
    7,340.64/11,012.88 = 4,260/x
  3. Step 3: Cross multiply
    7,340.64x = 11,012.88 × 4,260
  4. Step 4: Simplify right side
    7,340.64x = 46,914,868.80
  5. Step 5: Solve for x
    x = 46,914,868.80/7,340.64
  6. Step 6: Final answer
    x = 6,391.11

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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.