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Finding the Fourth Proportional to 7,671.51, 11,507.18 and 2,049.17

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Solution

The fourth proportional to 7,671.51, 11,507.18 and 2,049.17 is: 3,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.51 : 11,507.18 = 2,049.17 : x
  2. Step 2: Convert to fraction form
    7,671.51/11,507.18 = 2,049.17/x
  3. Step 3: Cross multiply
    7,671.51x = 11,507.18 × 2,049.17
  4. Step 4: Simplify right side
    7,671.51x = 23,580,206.72
  5. Step 5: Solve for x
    x = 23,580,206.72/7,671.51
  6. Step 6: Final answer
    x = 3,073.74

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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.