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Finding the Fourth Proportional to 7,701.60, 10,628.21 and 4,164.81

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Solution

The fourth proportional to 7,701.60, 10,628.21 and 4,164.81 is: 5,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.60 : 10,628.21 = 4,164.81 : x
  2. Step 2: Convert to fraction form
    7,701.60/10,628.21 = 4,164.81/x
  3. Step 3: Cross multiply
    7,701.60x = 10,628.21 × 4,164.81
  4. Step 4: Simplify right side
    7,701.60x = 44,264,454.47
  5. Step 5: Solve for x
    x = 44,264,454.47/7,701.60
  6. Step 6: Final answer
    x = 5,747.44

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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.