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Finding the Fourth Proportional to 8,663.46, 12,977.10 and 8,040.84

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Solution

The fourth proportional to 8,663.46, 12,977.10 and 8,040.84 is: 12,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.46 : 12,977.10 = 8,040.84 : x
  2. Step 2: Convert to fraction form
    8,663.46/12,977.10 = 8,040.84/x
  3. Step 3: Cross multiply
    8,663.46x = 12,977.10 × 8,040.84
  4. Step 4: Simplify right side
    8,663.46x = 104,346,784.76
  5. Step 5: Solve for x
    x = 104,346,784.76/8,663.46
  6. Step 6: Final answer
    x = 12,044.47

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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.