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Finding the Fourth Proportional to 25,325.60, 37,989.36 and 7,556

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Solution

The fourth proportional to 25,325.60, 37,989.36 and 7,556 is: 11,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,325.60 : 37,989.36 = 7,556 : x
  2. Step 2: Convert to fraction form
    25,325.60/37,989.36 = 7,556/x
  3. Step 3: Cross multiply
    25,325.60x = 37,989.36 × 7,556
  4. Step 4: Simplify right side
    25,325.60x = 287,047,604.16
  5. Step 5: Solve for x
    x = 287,047,604.16/25,325.60
  6. Step 6: Final answer
    x = 11,334.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.