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Finding the Fourth Proportional to 7,666.68, 10,577.70 and 4,309.14

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Solution

The fourth proportional to 7,666.68, 10,577.70 and 4,309.14 is: 5,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.68 : 10,577.70 = 4,309.14 : x
  2. Step 2: Convert to fraction form
    7,666.68/10,577.70 = 4,309.14/x
  3. Step 3: Cross multiply
    7,666.68x = 10,577.70 × 4,309.14
  4. Step 4: Simplify right side
    7,666.68x = 45,580,790.18
  5. Step 5: Solve for x
    x = 45,580,790.18/7,666.68
  6. Step 6: Final answer
    x = 5,945.31

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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.