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Finding the Fourth Proportional to 8,032.22, 12,051.98 and 4,751.72

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Solution

The fourth proportional to 8,032.22, 12,051.98 and 4,751.72 is: 7,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.22 : 12,051.98 = 4,751.72 : x
  2. Step 2: Convert to fraction form
    8,032.22/12,051.98 = 4,751.72/x
  3. Step 3: Cross multiply
    8,032.22x = 12,051.98 × 4,751.72
  4. Step 4: Simplify right side
    8,032.22x = 57,267,634.41
  5. Step 5: Solve for x
    x = 57,267,634.41/8,032.22
  6. Step 6: Final answer
    x = 7,129.74

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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.