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Finding the Fourth Proportional to 25,276.32, 37,900.80 and 7,742.88

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Solution

The fourth proportional to 25,276.32, 37,900.80 and 7,742.88 is: 11,610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,276.32 : 37,900.80 = 7,742.88 : x
  2. Step 2: Convert to fraction form
    25,276.32/37,900.80 = 7,742.88/x
  3. Step 3: Cross multiply
    25,276.32x = 37,900.80 × 7,742.88
  4. Step 4: Simplify right side
    25,276.32x = 293,461,346.30
  5. Step 5: Solve for x
    x = 293,461,346.30/25,276.32
  6. Step 6: Final answer
    x = 11,610.13

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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.