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Finding the Fourth Proportional to 10,651.36, 14,698.98 and 5,871.48

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Solution

The fourth proportional to 10,651.36, 14,698.98 and 5,871.48 is: 8,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.36 : 14,698.98 = 5,871.48 : x
  2. Step 2: Convert to fraction form
    10,651.36/14,698.98 = 5,871.48/x
  3. Step 3: Cross multiply
    10,651.36x = 14,698.98 × 5,871.48
  4. Step 4: Simplify right side
    10,651.36x = 86,304,767.09
  5. Step 5: Solve for x
    x = 86,304,767.09/10,651.36
  6. Step 6: Final answer
    x = 8,102.70

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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.