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Finding the Fourth Proportional to 10,064.36, 13,891.56 and 6,527.36

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Solution

The fourth proportional to 10,064.36, 13,891.56 and 6,527.36 is: 9,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.36 : 13,891.56 = 6,527.36 : x
  2. Step 2: Convert to fraction form
    10,064.36/13,891.56 = 6,527.36/x
  3. Step 3: Cross multiply
    10,064.36x = 13,891.56 × 6,527.36
  4. Step 4: Simplify right side
    10,064.36x = 90,675,213.08
  5. Step 5: Solve for x
    x = 90,675,213.08/10,064.36
  6. Step 6: Final answer
    x = 9,009.54

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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.