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Finding the Fourth Proportional to 7,564.68, 10,440.51 and 4,420.26

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Solution

The fourth proportional to 7,564.68, 10,440.51 and 4,420.26 is: 6,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.68 : 10,440.51 = 4,420.26 : x
  2. Step 2: Convert to fraction form
    7,564.68/10,440.51 = 4,420.26/x
  3. Step 3: Cross multiply
    7,564.68x = 10,440.51 × 4,420.26
  4. Step 4: Simplify right side
    7,564.68x = 46,149,768.73
  5. Step 5: Solve for x
    x = 46,149,768.73/7,564.68
  6. Step 6: Final answer
    x = 6,100.69

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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.