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Finding the Fourth Proportional to 10,477.11, 14,458.04 and 5,761.36

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Solution

The fourth proportional to 10,477.11, 14,458.04 and 5,761.36 is: 7,950.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.11 : 14,458.04 = 5,761.36 : x
  2. Step 2: Convert to fraction form
    10,477.11/14,458.04 = 5,761.36/x
  3. Step 3: Cross multiply
    10,477.11x = 14,458.04 × 5,761.36
  4. Step 4: Simplify right side
    10,477.11x = 83,297,973.33
  5. Step 5: Solve for x
    x = 83,297,973.33/10,477.11
  6. Step 6: Final answer
    x = 7,950.47

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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.