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Finding the Fourth Proportional to 7,577.83, 10,458.06 and 4,221.28

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Solution

The fourth proportional to 7,577.83, 10,458.06 and 4,221.28 is: 5,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.83 : 10,458.06 = 4,221.28 : x
  2. Step 2: Convert to fraction form
    7,577.83/10,458.06 = 4,221.28/x
  3. Step 3: Cross multiply
    7,577.83x = 10,458.06 × 4,221.28
  4. Step 4: Simplify right side
    7,577.83x = 44,146,399.52
  5. Step 5: Solve for x
    x = 44,146,399.52/7,577.83
  6. Step 6: Final answer
    x = 5,825.73

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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.