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Finding the Fourth Proportional to 7,577.64, 10,455.90 and 4,220.37

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Solution

The fourth proportional to 7,577.64, 10,455.90 and 4,220.37 is: 5,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.64 : 10,455.90 = 4,220.37 : x
  2. Step 2: Convert to fraction form
    7,577.64/10,455.90 = 4,220.37/x
  3. Step 3: Cross multiply
    7,577.64x = 10,455.90 × 4,220.37
  4. Step 4: Simplify right side
    7,577.64x = 44,127,766.68
  5. Step 5: Solve for x
    x = 44,127,766.68/7,577.64
  6. Step 6: Final answer
    x = 5,823.42

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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.