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Finding the Fourth Proportional to 7,577.49, 10,457.16 and 4,174.62

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Solution

The fourth proportional to 7,577.49, 10,457.16 and 4,174.62 is: 5,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.49 : 10,457.16 = 4,174.62 : x
  2. Step 2: Convert to fraction form
    7,577.49/10,457.16 = 4,174.62/x
  3. Step 3: Cross multiply
    7,577.49x = 10,457.16 × 4,174.62
  4. Step 4: Simplify right side
    7,577.49x = 43,654,669.28
  5. Step 5: Solve for x
    x = 43,654,669.28/7,577.49
  6. Step 6: Final answer
    x = 5,761.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.