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Finding the Fourth Proportional to 10,745, 16,124.70 and 4,590.44

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Solution

The fourth proportional to 10,745, 16,124.70 and 4,590.44 is: 6,888.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745 : 16,124.70 = 4,590.44 : x
  2. Step 2: Convert to fraction form
    10,745/16,124.70 = 4,590.44/x
  3. Step 3: Cross multiply
    10,745x = 16,124.70 × 4,590.44
  4. Step 4: Simplify right side
    10,745x = 74,019,467.87
  5. Step 5: Solve for x
    x = 74,019,467.87/10,745
  6. Step 6: Final answer
    x = 6,888.74

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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.