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Finding the Fourth Proportional to 10,283.88, 15,434.10 and 5,355

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Solution

The fourth proportional to 10,283.88, 15,434.10 and 5,355 is: 8,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.88 : 15,434.10 = 5,355 : x
  2. Step 2: Convert to fraction form
    10,283.88/15,434.10 = 5,355/x
  3. Step 3: Cross multiply
    10,283.88x = 15,434.10 × 5,355
  4. Step 4: Simplify right side
    10,283.88x = 82,649,605.50
  5. Step 5: Solve for x
    x = 82,649,605.50/10,283.88
  6. Step 6: Final answer
    x = 8,036.81

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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.