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Finding the Fourth Proportional to 10,368.36, 14,308.68 and 5,891.88

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Solution

The fourth proportional to 10,368.36, 14,308.68 and 5,891.88 is: 8,130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.36 : 14,308.68 = 5,891.88 : x
  2. Step 2: Convert to fraction form
    10,368.36/14,308.68 = 5,891.88/x
  3. Step 3: Cross multiply
    10,368.36x = 14,308.68 × 5,891.88
  4. Step 4: Simplify right side
    10,368.36x = 84,305,025.52
  5. Step 5: Solve for x
    x = 84,305,025.52/10,368.36
  6. Step 6: Final answer
    x = 8,130.99

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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.