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Finding the Fourth Proportional to 25,253.89, 37,880.84 and 7,723.57

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Solution

The fourth proportional to 25,253.89, 37,880.84 and 7,723.57 is: 11,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,253.89 : 37,880.84 = 7,723.57 : x
  2. Step 2: Convert to fraction form
    25,253.89/37,880.84 = 7,723.57/x
  3. Step 3: Cross multiply
    25,253.89x = 37,880.84 × 7,723.57
  4. Step 4: Simplify right side
    25,253.89x = 292,575,319.40
  5. Step 5: Solve for x
    x = 292,575,319.40/25,253.89
  6. Step 6: Final answer
    x = 11,585.36

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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.