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Finding the Fourth Proportional to 7,701.72, 10,628.35 and 4,164.94

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Solution

The fourth proportional to 7,701.72, 10,628.35 and 4,164.94 is: 5,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.72 : 10,628.35 = 4,164.94 : x
  2. Step 2: Convert to fraction form
    7,701.72/10,628.35 = 4,164.94/x
  3. Step 3: Cross multiply
    7,701.72x = 10,628.35 × 4,164.94
  4. Step 4: Simplify right side
    7,701.72x = 44,266,440.05
  5. Step 5: Solve for x
    x = 44,266,440.05/7,701.72
  6. Step 6: Final answer
    x = 5,747.60

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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.