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Finding the Fourth Proportional to 7,026, 10,539 and 2,095.53

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Solution

The fourth proportional to 7,026, 10,539 and 2,095.53 is: 3,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026 : 10,539 = 2,095.53 : x
  2. Step 2: Convert to fraction form
    7,026/10,539 = 2,095.53/x
  3. Step 3: Cross multiply
    7,026x = 10,539 × 2,095.53
  4. Step 4: Simplify right side
    7,026x = 22,084,790.67
  5. Step 5: Solve for x
    x = 22,084,790.67/7,026
  6. Step 6: Final answer
    x = 3,143.30

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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.