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Finding the Fourth Proportional to 10,090.56, 15,118.72 and 6,186.88

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Solution

The fourth proportional to 10,090.56, 15,118.72 and 6,186.88 is: 9,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.56 : 15,118.72 = 6,186.88 : x
  2. Step 2: Convert to fraction form
    10,090.56/15,118.72 = 6,186.88/x
  3. Step 3: Cross multiply
    10,090.56x = 15,118.72 × 6,186.88
  4. Step 4: Simplify right side
    10,090.56x = 93,537,706.39
  5. Step 5: Solve for x
    x = 93,537,706.39/10,090.56
  6. Step 6: Final answer
    x = 9,269.82

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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.