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Finding the Fourth Proportional to 25,294.64, 37,937.07 and 7,759.76

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Solution

The fourth proportional to 25,294.64, 37,937.07 and 7,759.76 is: 11,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.64 : 37,937.07 = 7,759.76 : x
  2. Step 2: Convert to fraction form
    25,294.64/37,937.07 = 7,759.76/x
  3. Step 3: Cross multiply
    25,294.64x = 37,937.07 × 7,759.76
  4. Step 4: Simplify right side
    25,294.64x = 294,382,368.62
  5. Step 5: Solve for x
    x = 294,382,368.62/25,294.64
  6. Step 6: Final answer
    x = 11,638.13

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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.