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Finding the Fourth Proportional to 7,127.80, 10,675.74 and 4,122.16

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Solution

The fourth proportional to 7,127.80, 10,675.74 and 4,122.16 is: 6,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.80 : 10,675.74 = 4,122.16 : x
  2. Step 2: Convert to fraction form
    7,127.80/10,675.74 = 4,122.16/x
  3. Step 3: Cross multiply
    7,127.80x = 10,675.74 × 4,122.16
  4. Step 4: Simplify right side
    7,127.80x = 44,007,108.40
  5. Step 5: Solve for x
    x = 44,007,108.40/7,127.80
  6. Step 6: Final answer
    x = 6,174.01

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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.