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Finding the Fourth Proportional to 7,174.17, 10,752.80 and 4,214.03

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Solution

The fourth proportional to 7,174.17, 10,752.80 and 4,214.03 is: 6,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.17 : 10,752.80 = 4,214.03 : x
  2. Step 2: Convert to fraction form
    7,174.17/10,752.80 = 4,214.03/x
  3. Step 3: Cross multiply
    7,174.17x = 10,752.80 × 4,214.03
  4. Step 4: Simplify right side
    7,174.17x = 45,312,621.78
  5. Step 5: Solve for x
    x = 45,312,621.78/7,174.17
  6. Step 6: Final answer
    x = 6,316.08

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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.