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Finding the Fourth Proportional to 10,323, 15,484.50 and 3,398.04

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Solution

The fourth proportional to 10,323, 15,484.50 and 3,398.04 is: 5,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323 : 15,484.50 = 3,398.04 : x
  2. Step 2: Convert to fraction form
    10,323/15,484.50 = 3,398.04/x
  3. Step 3: Cross multiply
    10,323x = 15,484.50 × 3,398.04
  4. Step 4: Simplify right side
    10,323x = 52,616,950.38
  5. Step 5: Solve for x
    x = 52,616,950.38/10,323
  6. Step 6: Final answer
    x = 5,097.06

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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.