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Finding the Fourth Proportional to 8,045.96, 12,070.76 and 2,851.83

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Solution

The fourth proportional to 8,045.96, 12,070.76 and 2,851.83 is: 4,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.96 : 12,070.76 = 2,851.83 : x
  2. Step 2: Convert to fraction form
    8,045.96/12,070.76 = 2,851.83/x
  3. Step 3: Cross multiply
    8,045.96x = 12,070.76 × 2,851.83
  4. Step 4: Simplify right side
    8,045.96x = 34,423,741.23
  5. Step 5: Solve for x
    x = 34,423,741.23/8,045.96
  6. Step 6: Final answer
    x = 4,278.39

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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.