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Finding the Fourth Proportional to 10,973.13, 16,461.74 and 4,399.83

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Solution

The fourth proportional to 10,973.13, 16,461.74 and 4,399.83 is: 6,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.13 : 16,461.74 = 4,399.83 : x
  2. Step 2: Convert to fraction form
    10,973.13/16,461.74 = 4,399.83/x
  3. Step 3: Cross multiply
    10,973.13x = 16,461.74 × 4,399.83
  4. Step 4: Simplify right side
    10,973.13x = 72,428,868.50
  5. Step 5: Solve for x
    x = 72,428,868.50/10,973.13
  6. Step 6: Final answer
    x = 6,600.57

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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.