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Finding the Fourth Proportional to 7,306.72, 10,096.56 and 5,207.20

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Solution

The fourth proportional to 7,306.72, 10,096.56 and 5,207.20 is: 7,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.72 : 10,096.56 = 5,207.20 : x
  2. Step 2: Convert to fraction form
    7,306.72/10,096.56 = 5,207.20/x
  3. Step 3: Cross multiply
    7,306.72x = 10,096.56 × 5,207.20
  4. Step 4: Simplify right side
    7,306.72x = 52,574,807.23
  5. Step 5: Solve for x
    x = 52,574,807.23/7,306.72
  6. Step 6: Final answer
    x = 7,195.40

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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.