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Finding the Fourth Proportional to 10,714.96, 16,075 and 3,319.76

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Solution

The fourth proportional to 10,714.96, 16,075 and 3,319.76 is: 4,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.96 : 16,075 = 3,319.76 : x
  2. Step 2: Convert to fraction form
    10,714.96/16,075 = 3,319.76/x
  3. Step 3: Cross multiply
    10,714.96x = 16,075 × 3,319.76
  4. Step 4: Simplify right side
    10,714.96x = 53,365,142
  5. Step 5: Solve for x
    x = 53,365,142/10,714.96
  6. Step 6: Final answer
    x = 4,980.43

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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.