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Finding the Fourth Proportional to 10,705.24, 16,048 and 4,779

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Solution

The fourth proportional to 10,705.24, 16,048 and 4,779 is: 7,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.24 : 16,048 = 4,779 : x
  2. Step 2: Convert to fraction form
    10,705.24/16,048 = 4,779/x
  3. Step 3: Cross multiply
    10,705.24x = 16,048 × 4,779
  4. Step 4: Simplify right side
    10,705.24x = 76,693,392
  5. Step 5: Solve for x
    x = 76,693,392/10,705.24
  6. Step 6: Final answer
    x = 7,164.10

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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.