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Finding the Fourth Proportional to 25,011.60, 37,519.66 and 7,242

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Solution

The fourth proportional to 25,011.60, 37,519.66 and 7,242 is: 10,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,011.60 : 37,519.66 = 7,242 : x
  2. Step 2: Convert to fraction form
    25,011.60/37,519.66 = 7,242/x
  3. Step 3: Cross multiply
    25,011.60x = 37,519.66 × 7,242
  4. Step 4: Simplify right side
    25,011.60x = 271,717,377.72
  5. Step 5: Solve for x
    x = 271,717,377.72/25,011.60
  6. Step 6: Final answer
    x = 10,863.65

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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.