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Finding the Fourth Proportional to 10,222.53, 14,106.66 and 5,973.99

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Solution

The fourth proportional to 10,222.53, 14,106.66 and 5,973.99 is: 8,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.53 : 14,106.66 = 5,973.99 : x
  2. Step 2: Convert to fraction form
    10,222.53/14,106.66 = 5,973.99/x
  3. Step 3: Cross multiply
    10,222.53x = 14,106.66 × 5,973.99
  4. Step 4: Simplify right side
    10,222.53x = 84,273,045.77
  5. Step 5: Solve for x
    x = 84,273,045.77/10,222.53
  6. Step 6: Final answer
    x = 8,243.85

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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.