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Finding the Fourth Proportional to 7,644.22, 10,545.78 and 4,659.64

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Solution

The fourth proportional to 7,644.22, 10,545.78 and 4,659.64 is: 6,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.22 : 10,545.78 = 4,659.64 : x
  2. Step 2: Convert to fraction form
    7,644.22/10,545.78 = 4,659.64/x
  3. Step 3: Cross multiply
    7,644.22x = 10,545.78 × 4,659.64
  4. Step 4: Simplify right side
    7,644.22x = 49,139,538.32
  5. Step 5: Solve for x
    x = 49,139,538.32/7,644.22
  6. Step 6: Final answer
    x = 6,428.33

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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.