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Finding the Fourth Proportional to 8,990.30, 12,402.69 and 5,966.16

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Solution

The fourth proportional to 8,990.30, 12,402.69 and 5,966.16 is: 8,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,990.30 : 12,402.69 = 5,966.16 : x
  2. Step 2: Convert to fraction form
    8,990.30/12,402.69 = 5,966.16/x
  3. Step 3: Cross multiply
    8,990.30x = 12,402.69 × 5,966.16
  4. Step 4: Simplify right side
    8,990.30x = 73,996,403.14
  5. Step 5: Solve for x
    x = 73,996,403.14/8,990.30
  6. Step 6: Final answer
    x = 8,230.70

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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.