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Finding the Fourth Proportional to 7,277, 10,043.88 and 4,623.89

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Solution

The fourth proportional to 7,277, 10,043.88 and 4,623.89 is: 6,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277 : 10,043.88 = 4,623.89 : x
  2. Step 2: Convert to fraction form
    7,277/10,043.88 = 4,623.89/x
  3. Step 3: Cross multiply
    7,277x = 10,043.88 × 4,623.89
  4. Step 4: Simplify right side
    7,277x = 46,441,796.29
  5. Step 5: Solve for x
    x = 46,441,796.29/7,277
  6. Step 6: Final answer
    x = 6,382.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.