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Finding the Fourth Proportional to 7,705.62, 10,633.68 and 4,168.76

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Solution

The fourth proportional to 7,705.62, 10,633.68 and 4,168.76 is: 5,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.62 : 10,633.68 = 4,168.76 : x
  2. Step 2: Convert to fraction form
    7,705.62/10,633.68 = 4,168.76/x
  3. Step 3: Cross multiply
    7,705.62x = 10,633.68 × 4,168.76
  4. Step 4: Simplify right side
    7,705.62x = 44,329,206.67
  5. Step 5: Solve for x
    x = 44,329,206.67/7,705.62
  6. Step 6: Final answer
    x = 5,752.84

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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.