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Finding the Fourth Proportional to 7,755.62, 10,705.12 and 7,358.86

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Solution

The fourth proportional to 7,755.62, 10,705.12 and 7,358.86 is: 10,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.62 : 10,705.12 = 7,358.86 : x
  2. Step 2: Convert to fraction form
    7,755.62/10,705.12 = 7,358.86/x
  3. Step 3: Cross multiply
    7,755.62x = 10,705.12 × 7,358.86
  4. Step 4: Simplify right side
    7,755.62x = 78,777,479.36
  5. Step 5: Solve for x
    x = 78,777,479.36/7,755.62
  6. Step 6: Final answer
    x = 10,157.47

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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.