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Finding the Fourth Proportional to 10,536.56, 15,805.68 and 6,154.46

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Solution

The fourth proportional to 10,536.56, 15,805.68 and 6,154.46 is: 9,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.56 : 15,805.68 = 6,154.46 : x
  2. Step 2: Convert to fraction form
    10,536.56/15,805.68 = 6,154.46/x
  3. Step 3: Cross multiply
    10,536.56x = 15,805.68 × 6,154.46
  4. Step 4: Simplify right side
    10,536.56x = 97,275,425.33
  5. Step 5: Solve for x
    x = 97,275,425.33/10,536.56
  6. Step 6: Final answer
    x = 9,232.18

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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.