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Finding the Fourth Proportional to 25,964, 38,946.72 and 7,496

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Solution

The fourth proportional to 25,964, 38,946.72 and 7,496 is: 11,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,964 : 38,946.72 = 7,496 : x
  2. Step 2: Convert to fraction form
    25,964/38,946.72 = 7,496/x
  3. Step 3: Cross multiply
    25,964x = 38,946.72 × 7,496
  4. Step 4: Simplify right side
    25,964x = 291,944,613.12
  5. Step 5: Solve for x
    x = 291,944,613.12/25,964
  6. Step 6: Final answer
    x = 11,244.21

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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.