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Finding the Fourth Proportional to 25,952.16, 38,934 and 7,484.16

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Solution

The fourth proportional to 25,952.16, 38,934 and 7,484.16 is: 11,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952.16 : 38,934 = 7,484.16 : x
  2. Step 2: Convert to fraction form
    25,952.16/38,934 = 7,484.16/x
  3. Step 3: Cross multiply
    25,952.16x = 38,934 × 7,484.16
  4. Step 4: Simplify right side
    25,952.16x = 291,388,285.44
  5. Step 5: Solve for x
    x = 291,388,285.44/25,952.16
  6. Step 6: Final answer
    x = 11,227.90

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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.