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Finding the Fourth Proportional to 7,800.22, 11,701.43 and 2,533.55

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Solution

The fourth proportional to 7,800.22, 11,701.43 and 2,533.55 is: 3,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.22 : 11,701.43 = 2,533.55 : x
  2. Step 2: Convert to fraction form
    7,800.22/11,701.43 = 2,533.55/x
  3. Step 3: Cross multiply
    7,800.22x = 11,701.43 × 2,533.55
  4. Step 4: Simplify right side
    7,800.22x = 29,646,111.83
  5. Step 5: Solve for x
    x = 29,646,111.83/7,800.22
  6. Step 6: Final answer
    x = 3,800.68

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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.