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Finding the Fourth Proportional to 8,045.98, 12,072.81 and 2,854.30

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Solution

The fourth proportional to 8,045.98, 12,072.81 and 2,854.30 is: 4,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.98 : 12,072.81 = 2,854.30 : x
  2. Step 2: Convert to fraction form
    8,045.98/12,072.81 = 2,854.30/x
  3. Step 3: Cross multiply
    8,045.98x = 12,072.81 × 2,854.30
  4. Step 4: Simplify right side
    8,045.98x = 34,459,421.58
  5. Step 5: Solve for x
    x = 34,459,421.58/8,045.98
  6. Step 6: Final answer
    x = 4,282.81

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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.