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Finding the Fourth Proportional to 7,176.12, 9,900 and 4,380

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Solution

The fourth proportional to 7,176.12, 9,900 and 4,380 is: 6,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.12 : 9,900 = 4,380 : x
  2. Step 2: Convert to fraction form
    7,176.12/9,900 = 4,380/x
  3. Step 3: Cross multiply
    7,176.12x = 9,900 × 4,380
  4. Step 4: Simplify right side
    7,176.12x = 43,362,000
  5. Step 5: Solve for x
    x = 43,362,000/7,176.12
  6. Step 6: Final answer
    x = 6,042.54

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