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Finding the Fourth Proportional to 7,705.61, 10,633.73 and 4,168.81

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Solution

The fourth proportional to 7,705.61, 10,633.73 and 4,168.81 is: 5,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.61 : 10,633.73 = 4,168.81 : x
  2. Step 2: Convert to fraction form
    7,705.61/10,633.73 = 4,168.81/x
  3. Step 3: Cross multiply
    7,705.61x = 10,633.73 × 4,168.81
  4. Step 4: Simplify right side
    7,705.61x = 44,329,952.53
  5. Step 5: Solve for x
    x = 44,329,952.53/7,705.61
  6. Step 6: Final answer
    x = 5,752.95

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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.