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Finding the Fourth Proportional to 10,417.40, 14,375.64 and 5,942.58

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Solution

The fourth proportional to 10,417.40, 14,375.64 and 5,942.58 is: 8,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.40 : 14,375.64 = 5,942.58 : x
  2. Step 2: Convert to fraction form
    10,417.40/14,375.64 = 5,942.58/x
  3. Step 3: Cross multiply
    10,417.40x = 14,375.64 × 5,942.58
  4. Step 4: Simplify right side
    10,417.40x = 85,428,439.99
  5. Step 5: Solve for x
    x = 85,428,439.99/10,417.40
  6. Step 6: Final answer
    x = 8,200.55

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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.