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Finding the Fourth Proportional to 10,142.40, 15,212.40 and 2,746.40

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Solution

The fourth proportional to 10,142.40, 15,212.40 and 2,746.40 is: 4,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.40 : 15,212.40 = 2,746.40 : x
  2. Step 2: Convert to fraction form
    10,142.40/15,212.40 = 2,746.40/x
  3. Step 3: Cross multiply
    10,142.40x = 15,212.40 × 2,746.40
  4. Step 4: Simplify right side
    10,142.40x = 41,779,335.36
  5. Step 5: Solve for x
    x = 41,779,335.36/10,142.40
  6. Step 6: Final answer
    x = 4,119.28

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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.