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Finding the Fourth Proportional to 10,477.40, 14,451.49 and 6,891.24

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Solution

The fourth proportional to 10,477.40, 14,451.49 and 6,891.24 is: 9,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.40 : 14,451.49 = 6,891.24 : x
  2. Step 2: Convert to fraction form
    10,477.40/14,451.49 = 6,891.24/x
  3. Step 3: Cross multiply
    10,477.40x = 14,451.49 × 6,891.24
  4. Step 4: Simplify right side
    10,477.40x = 99,588,667.47
  5. Step 5: Solve for x
    x = 99,588,667.47/10,477.40
  6. Step 6: Final answer
    x = 9,505.09

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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.