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Finding the Fourth Proportional to 7,405.77, 10,221.08 and 4,261.35

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Solution

The fourth proportional to 7,405.77, 10,221.08 and 4,261.35 is: 5,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.77 : 10,221.08 = 4,261.35 : x
  2. Step 2: Convert to fraction form
    7,405.77/10,221.08 = 4,261.35/x
  3. Step 3: Cross multiply
    7,405.77x = 10,221.08 × 4,261.35
  4. Step 4: Simplify right side
    7,405.77x = 43,555,577.95
  5. Step 5: Solve for x
    x = 43,555,577.95/7,405.77
  6. Step 6: Final answer
    x = 5,881.30

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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.