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Finding the Fourth Proportional to 25,254.27, 37,885.66 and 7,720

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Solution

The fourth proportional to 25,254.27, 37,885.66 and 7,720 is: 11,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,254.27 : 37,885.66 = 7,720 : x
  2. Step 2: Convert to fraction form
    25,254.27/37,885.66 = 7,720/x
  3. Step 3: Cross multiply
    25,254.27x = 37,885.66 × 7,720
  4. Step 4: Simplify right side
    25,254.27x = 292,477,314.50
  5. Step 5: Solve for x
    x = 292,477,314.50/25,254.27
  6. Step 6: Final answer
    x = 11,581.30

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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.