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Finding the Fourth Proportional to 25,090.79, 37,638 and 7,561.98

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Solution

The fourth proportional to 25,090.79, 37,638 and 7,561.98 is: 11,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,090.79 : 37,638 = 7,561.98 : x
  2. Step 2: Convert to fraction form
    25,090.79/37,638 = 7,561.98/x
  3. Step 3: Cross multiply
    25,090.79x = 37,638 × 7,561.98
  4. Step 4: Simplify right side
    25,090.79x = 284,617,803.24
  5. Step 5: Solve for x
    x = 284,617,803.24/25,090.79
  6. Step 6: Final answer
    x = 11,343.52

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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.