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Finding the Fourth Proportional to 7,197.80, 10,779.14 and 5,943.02

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Solution

The fourth proportional to 7,197.80, 10,779.14 and 5,943.02 is: 8,900.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.80 : 10,779.14 = 5,943.02 : x
  2. Step 2: Convert to fraction form
    7,197.80/10,779.14 = 5,943.02/x
  3. Step 3: Cross multiply
    7,197.80x = 10,779.14 × 5,943.02
  4. Step 4: Simplify right side
    7,197.80x = 64,060,644.60
  5. Step 5: Solve for x
    x = 64,060,644.60/7,197.80
  6. Step 6: Final answer
    x = 8,900.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.