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Finding the Fourth Proportional to 7,133.76, 10,701.69 and 2,454.96

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Solution

The fourth proportional to 7,133.76, 10,701.69 and 2,454.96 is: 3,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.76 : 10,701.69 = 2,454.96 : x
  2. Step 2: Convert to fraction form
    7,133.76/10,701.69 = 2,454.96/x
  3. Step 3: Cross multiply
    7,133.76x = 10,701.69 × 2,454.96
  4. Step 4: Simplify right side
    7,133.76x = 26,272,220.88
  5. Step 5: Solve for x
    x = 26,272,220.88/7,133.76
  6. Step 6: Final answer
    x = 3,682.80

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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.