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Finding the Fourth Proportional to 7,705.46, 11,536.68 and 5,064.86

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Solution

The fourth proportional to 7,705.46, 11,536.68 and 5,064.86 is: 7,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.46 : 11,536.68 = 5,064.86 : x
  2. Step 2: Convert to fraction form
    7,705.46/11,536.68 = 5,064.86/x
  3. Step 3: Cross multiply
    7,705.46x = 11,536.68 × 5,064.86
  4. Step 4: Simplify right side
    7,705.46x = 58,431,669.06
  5. Step 5: Solve for x
    x = 58,431,669.06/7,705.46
  6. Step 6: Final answer
    x = 7,583.15

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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.