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Finding the Fourth Proportional to 7,549.66, 10,419.77 and 4,405.84

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Solution

The fourth proportional to 7,549.66, 10,419.77 and 4,405.84 is: 6,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.66 : 10,419.77 = 4,405.84 : x
  2. Step 2: Convert to fraction form
    7,549.66/10,419.77 = 4,405.84/x
  3. Step 3: Cross multiply
    7,549.66x = 10,419.77 × 4,405.84
  4. Step 4: Simplify right side
    7,549.66x = 45,907,839.46
  5. Step 5: Solve for x
    x = 45,907,839.46/7,549.66
  6. Step 6: Final answer
    x = 6,080.78

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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.