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Finding the Fourth Proportional to 10,062.76, 15,094.32 and 3,137.44

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Solution

The fourth proportional to 10,062.76, 15,094.32 and 3,137.44 is: 4,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.76 : 15,094.32 = 3,137.44 : x
  2. Step 2: Convert to fraction form
    10,062.76/15,094.32 = 3,137.44/x
  3. Step 3: Cross multiply
    10,062.76x = 15,094.32 × 3,137.44
  4. Step 4: Simplify right side
    10,062.76x = 47,357,523.34
  5. Step 5: Solve for x
    x = 47,357,523.34/10,062.76
  6. Step 6: Final answer
    x = 4,706.22

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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.