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Finding the Fourth Proportional to 10,012.51, 15,013.62 and 5,853.43

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Solution

The fourth proportional to 10,012.51, 15,013.62 and 5,853.43 is: 8,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.51 : 15,013.62 = 5,853.43 : x
  2. Step 2: Convert to fraction form
    10,012.51/15,013.62 = 5,853.43/x
  3. Step 3: Cross multiply
    10,012.51x = 15,013.62 × 5,853.43
  4. Step 4: Simplify right side
    10,012.51x = 87,881,173.72
  5. Step 5: Solve for x
    x = 87,881,173.72/10,012.51
  6. Step 6: Final answer
    x = 8,777.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.