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Finding the Fourth Proportional to 5,313.67, 7,967.53 and 4,714.14

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Solution

The fourth proportional to 5,313.67, 7,967.53 and 4,714.14 is: 7,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.67 : 7,967.53 = 4,714.14 : x
  2. Step 2: Convert to fraction form
    5,313.67/7,967.53 = 4,714.14/x
  3. Step 3: Cross multiply
    5,313.67x = 7,967.53 × 4,714.14
  4. Step 4: Simplify right side
    5,313.67x = 37,560,051.87
  5. Step 5: Solve for x
    x = 37,560,051.87/5,313.67
  6. Step 6: Final answer
    x = 7,068.57

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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.