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Finding the Fourth Proportional to 25,952, 38,930.16 and 7,484

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Solution

The fourth proportional to 25,952, 38,930.16 and 7,484 is: 11,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952 : 38,930.16 = 7,484 : x
  2. Step 2: Convert to fraction form
    25,952/38,930.16 = 7,484/x
  3. Step 3: Cross multiply
    25,952x = 38,930.16 × 7,484
  4. Step 4: Simplify right side
    25,952x = 291,353,317.44
  5. Step 5: Solve for x
    x = 291,353,317.44/25,952
  6. Step 6: Final answer
    x = 11,226.62

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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.