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Finding the Fourth Proportional to 25,238.88, 37,863.72 and 7,710

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Solution

The fourth proportional to 25,238.88, 37,863.72 and 7,710 is: 11,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,238.88 : 37,863.72 = 7,710 : x
  2. Step 2: Convert to fraction form
    25,238.88/37,863.72 = 7,710/x
  3. Step 3: Cross multiply
    25,238.88x = 37,863.72 × 7,710
  4. Step 4: Simplify right side
    25,238.88x = 291,929,281.20
  5. Step 5: Solve for x
    x = 291,929,281.20/25,238.88
  6. Step 6: Final answer
    x = 11,566.65

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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.