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Finding the Fourth Proportional to 10,143, 15,214.56 and 2,746.92

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Solution

The fourth proportional to 10,143, 15,214.56 and 2,746.92 is: 4,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143 : 15,214.56 = 2,746.92 : x
  2. Step 2: Convert to fraction form
    10,143/15,214.56 = 2,746.92/x
  3. Step 3: Cross multiply
    10,143x = 15,214.56 × 2,746.92
  4. Step 4: Simplify right side
    10,143x = 41,793,179.16
  5. Step 5: Solve for x
    x = 41,793,179.16/10,143
  6. Step 6: Final answer
    x = 4,120.40

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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.