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Finding the Fourth Proportional to 7,140.33, 10,714.14 and 4,674.69

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Solution

The fourth proportional to 7,140.33, 10,714.14 and 4,674.69 is: 7,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.33 : 10,714.14 = 4,674.69 : x
  2. Step 2: Convert to fraction form
    7,140.33/10,714.14 = 4,674.69/x
  3. Step 3: Cross multiply
    7,140.33x = 10,714.14 × 4,674.69
  4. Step 4: Simplify right side
    7,140.33x = 50,085,283.12
  5. Step 5: Solve for x
    x = 50,085,283.12/7,140.33
  6. Step 6: Final answer
    x = 7,014.42

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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.