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Finding the Fourth Proportional to 7,142.32, 10,711.86 and 1,948.60

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Solution

The fourth proportional to 7,142.32, 10,711.86 and 1,948.60 is: 2,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.32 : 10,711.86 = 1,948.60 : x
  2. Step 2: Convert to fraction form
    7,142.32/10,711.86 = 1,948.60/x
  3. Step 3: Cross multiply
    7,142.32x = 10,711.86 × 1,948.60
  4. Step 4: Simplify right side
    7,142.32x = 20,873,130.40
  5. Step 5: Solve for x
    x = 20,873,130.40/7,142.32
  6. Step 6: Final answer
    x = 2,922.46

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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.