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Finding the Fourth Proportional to 7,577.00, 10,456.44 and 4,219.71

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Solution

The fourth proportional to 7,577.00, 10,456.44 and 4,219.71 is: 5,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.00 : 10,456.44 = 4,219.71 : x
  2. Step 2: Convert to fraction form
    7,577.00/10,456.44 = 4,219.71/x
  3. Step 3: Cross multiply
    7,577.00x = 10,456.44 × 4,219.71
  4. Step 4: Simplify right side
    7,577.00x = 44,123,144.43
  5. Step 5: Solve for x
    x = 44,123,144.43/7,577.00
  6. Step 6: Final answer
    x = 5,823.30

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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.