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Finding the Fourth Proportional to 7,697.72, 10,624.02 and 4,554.92

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Solution

The fourth proportional to 7,697.72, 10,624.02 and 4,554.92 is: 6,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.72 : 10,624.02 = 4,554.92 : x
  2. Step 2: Convert to fraction form
    7,697.72/10,624.02 = 4,554.92/x
  3. Step 3: Cross multiply
    7,697.72x = 10,624.02 × 4,554.92
  4. Step 4: Simplify right side
    7,697.72x = 48,391,561.18
  5. Step 5: Solve for x
    x = 48,391,561.18/7,697.72
  6. Step 6: Final answer
    x = 6,286.48

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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.