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Finding the Fourth Proportional to 7,047.30, 10,566.90 and 2,116.20

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Solution

The fourth proportional to 7,047.30, 10,566.90 and 2,116.20 is: 3,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.30 : 10,566.90 = 2,116.20 : x
  2. Step 2: Convert to fraction form
    7,047.30/10,566.90 = 2,116.20/x
  3. Step 3: Cross multiply
    7,047.30x = 10,566.90 × 2,116.20
  4. Step 4: Simplify right side
    7,047.30x = 22,361,673.78
  5. Step 5: Solve for x
    x = 22,361,673.78/7,047.30
  6. Step 6: Final answer
    x = 3,173.08

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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.