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Finding the Fourth Proportional to 10,186.53, 15,286.58 and 4,187.53

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Solution

The fourth proportional to 10,186.53, 15,286.58 and 4,187.53 is: 6,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.53 : 15,286.58 = 4,187.53 : x
  2. Step 2: Convert to fraction form
    10,186.53/15,286.58 = 4,187.53/x
  3. Step 3: Cross multiply
    10,186.53x = 15,286.58 × 4,187.53
  4. Step 4: Simplify right side
    10,186.53x = 64,013,012.35
  5. Step 5: Solve for x
    x = 64,013,012.35/10,186.53
  6. Step 6: Final answer
    x = 6,284.08

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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.