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Finding the Fourth Proportional to 6,714.66, 10,065.78 and 4,075.68

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Solution

The fourth proportional to 6,714.66, 10,065.78 and 4,075.68 is: 6,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.66 : 10,065.78 = 4,075.68 : x
  2. Step 2: Convert to fraction form
    6,714.66/10,065.78 = 4,075.68/x
  3. Step 3: Cross multiply
    6,714.66x = 10,065.78 × 4,075.68
  4. Step 4: Simplify right side
    6,714.66x = 41,024,898.23
  5. Step 5: Solve for x
    x = 41,024,898.23/6,714.66
  6. Step 6: Final answer
    x = 6,109.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.