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Finding the Fourth Proportional to 7,744.79, 10,688.72 and 4,600.97

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Solution

The fourth proportional to 7,744.79, 10,688.72 and 4,600.97 is: 6,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.79 : 10,688.72 = 4,600.97 : x
  2. Step 2: Convert to fraction form
    7,744.79/10,688.72 = 4,600.97/x
  3. Step 3: Cross multiply
    7,744.79x = 10,688.72 × 4,600.97
  4. Step 4: Simplify right side
    7,744.79x = 49,178,483.78
  5. Step 5: Solve for x
    x = 49,178,483.78/7,744.79
  6. Step 6: Final answer
    x = 6,349.88

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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.