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Finding the Fourth Proportional to 25,308.87, 37,963.35 and 7,778.58

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Solution

The fourth proportional to 25,308.87, 37,963.35 and 7,778.58 is: 11,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,308.87 : 37,963.35 = 7,778.58 : x
  2. Step 2: Convert to fraction form
    25,308.87/37,963.35 = 7,778.58/x
  3. Step 3: Cross multiply
    25,308.87x = 37,963.35 × 7,778.58
  4. Step 4: Simplify right side
    25,308.87x = 295,300,955.04
  5. Step 5: Solve for x
    x = 295,300,955.04/25,308.87
  6. Step 6: Final answer
    x = 11,667.88

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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.