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Finding the Fourth Proportional to 7,521.80, 10,380 and 4,164.64

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Solution

The fourth proportional to 7,521.80, 10,380 and 4,164.64 is: 5,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521.80 : 10,380 = 4,164.64 : x
  2. Step 2: Convert to fraction form
    7,521.80/10,380 = 4,164.64/x
  3. Step 3: Cross multiply
    7,521.80x = 10,380 × 4,164.64
  4. Step 4: Simplify right side
    7,521.80x = 43,228,963.20
  5. Step 5: Solve for x
    x = 43,228,963.20/7,521.80
  6. Step 6: Final answer
    x = 5,747.16

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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.