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Finding the Fourth Proportional to 8,830.41, 12,174.06 and 7,566

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Solution

The fourth proportional to 8,830.41, 12,174.06 and 7,566 is: 10,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.41 : 12,174.06 = 7,566 : x
  2. Step 2: Convert to fraction form
    8,830.41/12,174.06 = 7,566/x
  3. Step 3: Cross multiply
    8,830.41x = 12,174.06 × 7,566
  4. Step 4: Simplify right side
    8,830.41x = 92,108,937.96
  5. Step 5: Solve for x
    x = 92,108,937.96/8,830.41
  6. Step 6: Final answer
    x = 10,430.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.