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Finding the Fourth Proportional to 25,063.48, 37,602.60 and 7,536

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Solution

The fourth proportional to 25,063.48, 37,602.60 and 7,536 is: 11,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,063.48 : 37,602.60 = 7,536 : x
  2. Step 2: Convert to fraction form
    25,063.48/37,602.60 = 7,536/x
  3. Step 3: Cross multiply
    25,063.48x = 37,602.60 × 7,536
  4. Step 4: Simplify right side
    25,063.48x = 283,373,193.60
  5. Step 5: Solve for x
    x = 283,373,193.60/25,063.48
  6. Step 6: Final answer
    x = 11,306.22

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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.