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Finding the Fourth Proportional to 7,754.85, 10,701.54 and 4,218.12

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Solution

The fourth proportional to 7,754.85, 10,701.54 and 4,218.12 is: 5,820.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.85 : 10,701.54 = 4,218.12 : x
  2. Step 2: Convert to fraction form
    7,754.85/10,701.54 = 4,218.12/x
  3. Step 3: Cross multiply
    7,754.85x = 10,701.54 × 4,218.12
  4. Step 4: Simplify right side
    7,754.85x = 45,140,379.90
  5. Step 5: Solve for x
    x = 45,140,379.90/7,754.85
  6. Step 6: Final answer
    x = 5,820.92

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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.