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Finding the Fourth Proportional to 7,143.90, 10,714.64 and 1,948.56

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Solution

The fourth proportional to 7,143.90, 10,714.64 and 1,948.56 is: 2,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.90 : 10,714.64 = 1,948.56 : x
  2. Step 2: Convert to fraction form
    7,143.90/10,714.64 = 1,948.56/x
  3. Step 3: Cross multiply
    7,143.90x = 10,714.64 × 1,948.56
  4. Step 4: Simplify right side
    7,143.90x = 20,878,109.18
  5. Step 5: Solve for x
    x = 20,878,109.18/7,143.90
  6. Step 6: Final answer
    x = 2,922.51

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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.