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Finding the Fourth Proportional to 10,064.69, 13,880.17 and 6,288.20

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Solution

The fourth proportional to 10,064.69, 13,880.17 and 6,288.20 is: 8,672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.69 : 13,880.17 = 6,288.20 : x
  2. Step 2: Convert to fraction form
    10,064.69/13,880.17 = 6,288.20/x
  3. Step 3: Cross multiply
    10,064.69x = 13,880.17 × 6,288.20
  4. Step 4: Simplify right side
    10,064.69x = 87,281,284.99
  5. Step 5: Solve for x
    x = 87,281,284.99/10,064.69
  6. Step 6: Final answer
    x = 8,672.03

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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.