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Finding the Fourth Proportional to 8,045.76, 12,070.05 and 2,781.30

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Solution

The fourth proportional to 8,045.76, 12,070.05 and 2,781.30 is: 4,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.76 : 12,070.05 = 2,781.30 : x
  2. Step 2: Convert to fraction form
    8,045.76/12,070.05 = 2,781.30/x
  3. Step 3: Cross multiply
    8,045.76x = 12,070.05 × 2,781.30
  4. Step 4: Simplify right side
    8,045.76x = 33,570,430.07
  5. Step 5: Solve for x
    x = 33,570,430.07/8,045.76
  6. Step 6: Final answer
    x = 4,172.44

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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.