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Finding the Fourth Proportional to 7,666.42, 11,443.68 and 6,577.78

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Solution

The fourth proportional to 7,666.42, 11,443.68 and 6,577.78 is: 9,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.42 : 11,443.68 = 6,577.78 : x
  2. Step 2: Convert to fraction form
    7,666.42/11,443.68 = 6,577.78/x
  3. Step 3: Cross multiply
    7,666.42x = 11,443.68 × 6,577.78
  4. Step 4: Simplify right side
    7,666.42x = 75,274,009.43
  5. Step 5: Solve for x
    x = 75,274,009.43/7,666.42
  6. Step 6: Final answer
    x = 9,818.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.