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Finding the Fourth Proportional to 7,800.90, 11,701.55 and 2,254.42

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Solution

The fourth proportional to 7,800.90, 11,701.55 and 2,254.42 is: 3,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.90 : 11,701.55 = 2,254.42 : x
  2. Step 2: Convert to fraction form
    7,800.90/11,701.55 = 2,254.42/x
  3. Step 3: Cross multiply
    7,800.90x = 11,701.55 × 2,254.42
  4. Step 4: Simplify right side
    7,800.90x = 26,380,208.35
  5. Step 5: Solve for x
    x = 26,380,208.35/7,800.90
  6. Step 6: Final answer
    x = 3,381.69

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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.