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Finding the Fourth Proportional to 7,420, 11,127.72 and 4,886.98

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Solution

The fourth proportional to 7,420, 11,127.72 and 4,886.98 is: 7,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420 : 11,127.72 = 4,886.98 : x
  2. Step 2: Convert to fraction form
    7,420/11,127.72 = 4,886.98/x
  3. Step 3: Cross multiply
    7,420x = 11,127.72 × 4,886.98
  4. Step 4: Simplify right side
    7,420x = 54,380,945.09
  5. Step 5: Solve for x
    x = 54,380,945.09/7,420
  6. Step 6: Final answer
    x = 7,328.97

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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.