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Finding the Fourth Proportional to 7,111.20, 10,666.80 and 6,592.80

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Solution

The fourth proportional to 7,111.20, 10,666.80 and 6,592.80 is: 9,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.20 : 10,666.80 = 6,592.80 : x
  2. Step 2: Convert to fraction form
    7,111.20/10,666.80 = 6,592.80/x
  3. Step 3: Cross multiply
    7,111.20x = 10,666.80 × 6,592.80
  4. Step 4: Simplify right side
    7,111.20x = 70,324,079.04
  5. Step 5: Solve for x
    x = 70,324,079.04/7,111.20
  6. Step 6: Final answer
    x = 9,889.20

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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.