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Finding the Fourth Proportional to 8,042.60, 12,066.64 and 5,077.60

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Solution

The fourth proportional to 8,042.60, 12,066.64 and 5,077.60 is: 7,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.60 : 12,066.64 = 5,077.60 : x
  2. Step 2: Convert to fraction form
    8,042.60/12,066.64 = 5,077.60/x
  3. Step 3: Cross multiply
    8,042.60x = 12,066.64 × 5,077.60
  4. Step 4: Simplify right side
    8,042.60x = 61,269,510.93
  5. Step 5: Solve for x
    x = 61,269,510.93/8,042.60
  6. Step 6: Final answer
    x = 7,618.12

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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.