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Finding the Fourth Proportional to 10,057.82, 13,888.08 and 6,527.06

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Solution

The fourth proportional to 10,057.82, 13,888.08 and 6,527.06 is: 9,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.82 : 13,888.08 = 6,527.06 : x
  2. Step 2: Convert to fraction form
    10,057.82/13,888.08 = 6,527.06/x
  3. Step 3: Cross multiply
    10,057.82x = 13,888.08 × 6,527.06
  4. Step 4: Simplify right side
    10,057.82x = 90,648,331.44
  5. Step 5: Solve for x
    x = 90,648,331.44/10,057.82
  6. Step 6: Final answer
    x = 9,012.72

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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.