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Finding the Fourth Proportional to 10,950.53, 16,434.29 and 4,381.02

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Solution

The fourth proportional to 10,950.53, 16,434.29 and 4,381.02 is: 6,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.53 : 16,434.29 = 4,381.02 : x
  2. Step 2: Convert to fraction form
    10,950.53/16,434.29 = 4,381.02/x
  3. Step 3: Cross multiply
    10,950.53x = 16,434.29 × 4,381.02
  4. Step 4: Simplify right side
    10,950.53x = 71,998,964.13
  5. Step 5: Solve for x
    x = 71,998,964.13/10,950.53
  6. Step 6: Final answer
    x = 6,574.93

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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.