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Finding the Fourth Proportional to 7,671.60, 11,507.28 and 3,773.16

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Solution

The fourth proportional to 7,671.60, 11,507.28 and 3,773.16 is: 5,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.60 : 11,507.28 = 3,773.16 : x
  2. Step 2: Convert to fraction form
    7,671.60/11,507.28 = 3,773.16/x
  3. Step 3: Cross multiply
    7,671.60x = 11,507.28 × 3,773.16
  4. Step 4: Simplify right side
    7,671.60x = 43,418,808.60
  5. Step 5: Solve for x
    x = 43,418,808.60/7,671.60
  6. Step 6: Final answer
    x = 5,659.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.