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Finding the Fourth Proportional to 7,024.98, 10,538.99 and 2,095.02

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Solution

The fourth proportional to 7,024.98, 10,538.99 and 2,095.02 is: 3,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.98 : 10,538.99 = 2,095.02 : x
  2. Step 2: Convert to fraction form
    7,024.98/10,538.99 = 2,095.02/x
  3. Step 3: Cross multiply
    7,024.98x = 10,538.99 × 2,095.02
  4. Step 4: Simplify right side
    7,024.98x = 22,079,394.83
  5. Step 5: Solve for x
    x = 22,079,394.83/7,024.98
  6. Step 6: Final answer
    x = 3,142.98

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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.